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Finding the Fourth Proportional to 9,672.97, 13,349.81 and 5,425.18

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Solution

The fourth proportional to 9,672.97, 13,349.81 and 5,425.18 is: 7,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.97 : 13,349.81 = 5,425.18 : x
  2. Step 2: Convert to fraction form
    9,672.97/13,349.81 = 5,425.18/x
  3. Step 3: Cross multiply
    9,672.97x = 13,349.81 × 5,425.18
  4. Step 4: Simplify right side
    9,672.97x = 72,425,122.22
  5. Step 5: Solve for x
    x = 72,425,122.22/9,672.97
  6. Step 6: Final answer
    x = 7,487.37

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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.