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Finding the Fourth Proportional to 7,318.52, 10,978.05 and 3,421.88

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Solution

The fourth proportional to 7,318.52, 10,978.05 and 3,421.88 is: 5,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.52 : 10,978.05 = 3,421.88 : x
  2. Step 2: Convert to fraction form
    7,318.52/10,978.05 = 3,421.88/x
  3. Step 3: Cross multiply
    7,318.52x = 10,978.05 × 3,421.88
  4. Step 4: Simplify right side
    7,318.52x = 37,565,569.73
  5. Step 5: Solve for x
    x = 37,565,569.73/7,318.52
  6. Step 6: Final answer
    x = 5,132.95

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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.