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Finding the Fourth Proportional to 14,042.28, 21,046.96 and 7,799.28

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Solution

The fourth proportional to 14,042.28, 21,046.96 and 7,799.28 is: 11,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.28 : 21,046.96 = 7,799.28 : x
  2. Step 2: Convert to fraction form
    14,042.28/21,046.96 = 7,799.28/x
  3. Step 3: Cross multiply
    14,042.28x = 21,046.96 × 7,799.28
  4. Step 4: Simplify right side
    14,042.28x = 164,151,134.19
  5. Step 5: Solve for x
    x = 164,151,134.19/14,042.28
  6. Step 6: Final answer
    x = 11,689.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.