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Finding the Fourth Proportional to 22,805.40, 31,469.11 and 12,732.74

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Solution

The fourth proportional to 22,805.40, 31,469.11 and 12,732.74 is: 17,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.40 : 31,469.11 = 12,732.74 : x
  2. Step 2: Convert to fraction form
    22,805.40/31,469.11 = 12,732.74/x
  3. Step 3: Cross multiply
    22,805.40x = 31,469.11 × 12,732.74
  4. Step 4: Simplify right side
    22,805.40x = 400,688,101.51
  5. Step 5: Solve for x
    x = 400,688,101.51/22,805.40
  6. Step 6: Final answer
    x = 17,569.88

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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.