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Finding the Fourth Proportional to 7,231.95, 9,981.23 and 5,241.78

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Solution

The fourth proportional to 7,231.95, 9,981.23 and 5,241.78 is: 7,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.95 : 9,981.23 = 5,241.78 : x
  2. Step 2: Convert to fraction form
    7,231.95/9,981.23 = 5,241.78/x
  3. Step 3: Cross multiply
    7,231.95x = 9,981.23 × 5,241.78
  4. Step 4: Simplify right side
    7,231.95x = 52,319,385.58
  5. Step 5: Solve for x
    x = 52,319,385.58/7,231.95
  6. Step 6: Final answer
    x = 7,234.48

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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.