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Finding the Fourth Proportional to 6,406.97, 9,610.45 and 2,657.88

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Solution

The fourth proportional to 6,406.97, 9,610.45 and 2,657.88 is: 3,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.97 : 9,610.45 = 2,657.88 : x
  2. Step 2: Convert to fraction form
    6,406.97/9,610.45 = 2,657.88/x
  3. Step 3: Cross multiply
    6,406.97x = 9,610.45 × 2,657.88
  4. Step 4: Simplify right side
    6,406.97x = 25,543,416.20
  5. Step 5: Solve for x
    x = 25,543,416.20/6,406.97
  6. Step 6: Final answer
    x = 3,986.82

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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.