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Finding the Fourth Proportional to 6,407.53, 9,610.49 and 1,727.90

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Solution

The fourth proportional to 6,407.53, 9,610.49 and 1,727.90 is: 2,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.53 : 9,610.49 = 1,727.90 : x
  2. Step 2: Convert to fraction form
    6,407.53/9,610.49 = 1,727.90/x
  3. Step 3: Cross multiply
    6,407.53x = 9,610.49 × 1,727.90
  4. Step 4: Simplify right side
    6,407.53x = 16,605,965.67
  5. Step 5: Solve for x
    x = 16,605,965.67/6,407.53
  6. Step 6: Final answer
    x = 2,591.63

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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.