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Finding the Fourth Proportional to 6,687.50, 9,219.10 and 4,691.86

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Solution

The fourth proportional to 6,687.50, 9,219.10 and 4,691.86 is: 6,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.50 : 9,219.10 = 4,691.86 : x
  2. Step 2: Convert to fraction form
    6,687.50/9,219.10 = 4,691.86/x
  3. Step 3: Cross multiply
    6,687.50x = 9,219.10 × 4,691.86
  4. Step 4: Simplify right side
    6,687.50x = 43,254,726.53
  5. Step 5: Solve for x
    x = 43,254,726.53/6,687.50
  6. Step 6: Final answer
    x = 6,468.00

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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.