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Finding the Fourth Proportional to 6,406.52, 9,611.10 and 2,708.78

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Solution

The fourth proportional to 6,406.52, 9,611.10 and 2,708.78 is: 4,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.52 : 9,611.10 = 2,708.78 : x
  2. Step 2: Convert to fraction form
    6,406.52/9,611.10 = 2,708.78/x
  3. Step 3: Cross multiply
    6,406.52x = 9,611.10 × 2,708.78
  4. Step 4: Simplify right side
    6,406.52x = 26,034,355.46
  5. Step 5: Solve for x
    x = 26,034,355.46/6,406.52
  6. Step 6: Final answer
    x = 4,063.73

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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.