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Finding the Fourth Proportional to 6,447.53, 9,664.45 and 4,100.15

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Solution

The fourth proportional to 6,447.53, 9,664.45 and 4,100.15 is: 6,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.53 : 9,664.45 = 4,100.15 : x
  2. Step 2: Convert to fraction form
    6,447.53/9,664.45 = 4,100.15/x
  3. Step 3: Cross multiply
    6,447.53x = 9,664.45 × 4,100.15
  4. Step 4: Simplify right side
    6,447.53x = 39,625,708.58
  5. Step 5: Solve for x
    x = 39,625,708.58/6,447.53
  6. Step 6: Final answer
    x = 6,145.87

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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.