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Finding the Fourth Proportional to 31,775.84, 43,856.76 and 18,355.76

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Solution

The fourth proportional to 31,775.84, 43,856.76 and 18,355.76 is: 25,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.84 : 43,856.76 = 18,355.76 : x
  2. Step 2: Convert to fraction form
    31,775.84/43,856.76 = 18,355.76/x
  3. Step 3: Cross multiply
    31,775.84x = 43,856.76 × 18,355.76
  4. Step 4: Simplify right side
    31,775.84x = 805,024,160.94
  5. Step 5: Solve for x
    x = 805,024,160.94/31,775.84
  6. Step 6: Final answer
    x = 25,334.47

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Half scale
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Double scale
Find fourth proportional to 31,776.84, 43,858.14 and 18,356.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.