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Finding the Fourth Proportional to 22,772.29, 31,428 and 13,819.09

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Solution

The fourth proportional to 22,772.29, 31,428 and 13,819.09 is: 19,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.29 : 31,428 = 13,819.09 : x
  2. Step 2: Convert to fraction form
    22,772.29/31,428 = 13,819.09/x
  3. Step 3: Cross multiply
    22,772.29x = 31,428 × 13,819.09
  4. Step 4: Simplify right side
    22,772.29x = 434,306,360.52
  5. Step 5: Solve for x
    x = 434,306,360.52/22,772.29
  6. Step 6: Final answer
    x = 19,071.70

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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.