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Finding the Fourth Proportional to 7,318.75, 10,978.12 and 3,425.89

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Solution

The fourth proportional to 7,318.75, 10,978.12 and 3,425.89 is: 5,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.75 : 10,978.12 = 3,425.89 : x
  2. Step 2: Convert to fraction form
    7,318.75/10,978.12 = 3,425.89/x
  3. Step 3: Cross multiply
    7,318.75x = 10,978.12 × 3,425.89
  4. Step 4: Simplify right side
    7,318.75x = 37,609,776.64
  5. Step 5: Solve for x
    x = 37,609,776.64/7,318.75
  6. Step 6: Final answer
    x = 5,138.83

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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.