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Finding the Fourth Proportional to 15,322.71, 22,890.93 and 9,731.28

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Solution

The fourth proportional to 15,322.71, 22,890.93 and 9,731.28 is: 14,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.71 : 22,890.93 = 9,731.28 : x
  2. Step 2: Convert to fraction form
    15,322.71/22,890.93 = 9,731.28/x
  3. Step 3: Cross multiply
    15,322.71x = 22,890.93 × 9,731.28
  4. Step 4: Simplify right side
    15,322.71x = 222,758,049.29
  5. Step 5: Solve for x
    x = 222,758,049.29/15,322.71
  6. Step 6: Final answer
    x = 14,537.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.