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Finding the Fourth Proportional to 7,132.53, 9,842.38 and 4,148.15

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Solution

The fourth proportional to 7,132.53, 9,842.38 and 4,148.15 is: 5,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.53 : 9,842.38 = 4,148.15 : x
  2. Step 2: Convert to fraction form
    7,132.53/9,842.38 = 4,148.15/x
  3. Step 3: Cross multiply
    7,132.53x = 9,842.38 × 4,148.15
  4. Step 4: Simplify right side
    7,132.53x = 40,827,668.60
  5. Step 5: Solve for x
    x = 40,827,668.60/7,132.53
  6. Step 6: Final answer
    x = 5,724.15

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Why These Related Problems?

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