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Finding the Fourth Proportional to 6,463.88, 9,695.88 and 4,157

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Solution

The fourth proportional to 6,463.88, 9,695.88 and 4,157 is: 6,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.88 : 9,695.88 = 4,157 : x
  2. Step 2: Convert to fraction form
    6,463.88/9,695.88 = 4,157/x
  3. Step 3: Cross multiply
    6,463.88x = 9,695.88 × 4,157
  4. Step 4: Simplify right side
    6,463.88x = 40,305,773.16
  5. Step 5: Solve for x
    x = 40,305,773.16/6,463.88
  6. Step 6: Final answer
    x = 6,235.54

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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.