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Finding the Fourth Proportional to 5,332.32, 7,984.32 and 4,287.36

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Solution

The fourth proportional to 5,332.32, 7,984.32 and 4,287.36 is: 6,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.32 : 7,984.32 = 4,287.36 : x
  2. Step 2: Convert to fraction form
    5,332.32/7,984.32 = 4,287.36/x
  3. Step 3: Cross multiply
    5,332.32x = 7,984.32 × 4,287.36
  4. Step 4: Simplify right side
    5,332.32x = 34,231,654.20
  5. Step 5: Solve for x
    x = 34,231,654.20/5,332.32
  6. Step 6: Final answer
    x = 6,419.65

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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.