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Finding the Fourth Proportional to 14,713.31, 20,304 and 7,998.78

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Solution

The fourth proportional to 14,713.31, 20,304 and 7,998.78 is: 11,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.31 : 20,304 = 7,998.78 : x
  2. Step 2: Convert to fraction form
    14,713.31/20,304 = 7,998.78/x
  3. Step 3: Cross multiply
    14,713.31x = 20,304 × 7,998.78
  4. Step 4: Simplify right side
    14,713.31x = 162,407,305.26
  5. Step 5: Solve for x
    x = 162,407,305.26/14,713.31
  6. Step 6: Final answer
    x = 11,038.12

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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.