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Finding the Fourth Proportional to 20,965.67, 31,449.65 and 8,483.84

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Solution

The fourth proportional to 20,965.67, 31,449.65 and 8,483.84 is: 12,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.67 : 31,449.65 = 8,483.84 : x
  2. Step 2: Convert to fraction form
    20,965.67/31,449.65 = 8,483.84/x
  3. Step 3: Cross multiply
    20,965.67x = 31,449.65 × 8,483.84
  4. Step 4: Simplify right side
    20,965.67x = 266,813,598.99
  5. Step 5: Solve for x
    x = 266,813,598.99/20,965.67
  6. Step 6: Final answer
    x = 12,726.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.