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Finding the Fourth Proportional to 21,580.53, 29,781.07 and 12,149.11

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Solution

The fourth proportional to 21,580.53, 29,781.07 and 12,149.11 is: 16,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.53 : 29,781.07 = 12,149.11 : x
  2. Step 2: Convert to fraction form
    21,580.53/29,781.07 = 12,149.11/x
  3. Step 3: Cross multiply
    21,580.53x = 29,781.07 × 12,149.11
  4. Step 4: Simplify right side
    21,580.53x = 361,813,495.35
  5. Step 5: Solve for x
    x = 361,813,495.35/21,580.53
  6. Step 6: Final answer
    x = 16,765.74

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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.