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Finding the Fourth Proportional to 7,234.62, 9,978.30 and 5,251.74

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Solution

The fourth proportional to 7,234.62, 9,978.30 and 5,251.74 is: 7,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.62 : 9,978.30 = 5,251.74 : x
  2. Step 2: Convert to fraction form
    7,234.62/9,978.30 = 5,251.74/x
  3. Step 3: Cross multiply
    7,234.62x = 9,978.30 × 5,251.74
  4. Step 4: Simplify right side
    7,234.62x = 52,403,437.24
  5. Step 5: Solve for x
    x = 52,403,437.24/7,234.62
  6. Step 6: Final answer
    x = 7,243.43

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1.5x scale

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.