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Finding the Fourth Proportional to 7,234.02, 9,978.80 and 4,249.31

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Solution

The fourth proportional to 7,234.02, 9,978.80 and 4,249.31 is: 5,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.02 : 9,978.80 = 4,249.31 : x
  2. Step 2: Convert to fraction form
    7,234.02/9,978.80 = 4,249.31/x
  3. Step 3: Cross multiply
    7,234.02x = 9,978.80 × 4,249.31
  4. Step 4: Simplify right side
    7,234.02x = 42,402,943.49
  5. Step 5: Solve for x
    x = 42,402,943.49/7,234.02
  6. Step 6: Final answer
    x = 5,861.60

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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.