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Finding the Fourth Proportional to 9,294.80, 13,937.72 and 5,400.32

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Solution

The fourth proportional to 9,294.80, 13,937.72 and 5,400.32 is: 8,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.80 : 13,937.72 = 5,400.32 : x
  2. Step 2: Convert to fraction form
    9,294.80/13,937.72 = 5,400.32/x
  3. Step 3: Cross multiply
    9,294.80x = 13,937.72 × 5,400.32
  4. Step 4: Simplify right side
    9,294.80x = 75,268,148.07
  5. Step 5: Solve for x
    x = 75,268,148.07/9,294.80
  6. Step 6: Final answer
    x = 8,097.88

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