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Finding the Fourth Proportional to 21,206.45, 31,824.25 and 7,355.45

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Solution

The fourth proportional to 21,206.45, 31,824.25 and 7,355.45 is: 11,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.45 : 31,824.25 = 7,355.45 : x
  2. Step 2: Convert to fraction form
    21,206.45/31,824.25 = 7,355.45/x
  3. Step 3: Cross multiply
    21,206.45x = 31,824.25 × 7,355.45
  4. Step 4: Simplify right side
    21,206.45x = 234,081,679.66
  5. Step 5: Solve for x
    x = 234,081,679.66/21,206.45
  6. Step 6: Final answer
    x = 11,038.23

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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.