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Finding the Fourth Proportional to 22,728.19, 31,347.12 and 14,772.97

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Solution

The fourth proportional to 22,728.19, 31,347.12 and 14,772.97 is: 20,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.19 : 31,347.12 = 14,772.97 : x
  2. Step 2: Convert to fraction form
    22,728.19/31,347.12 = 14,772.97/x
  3. Step 3: Cross multiply
    22,728.19x = 31,347.12 × 14,772.97
  4. Step 4: Simplify right side
    22,728.19x = 463,090,063.35
  5. Step 5: Solve for x
    x = 463,090,063.35/22,728.19
  6. Step 6: Final answer
    x = 20,375.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.