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Finding the Fourth Proportional to 6,405.88, 9,607.10 and 2,456.28

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Solution

The fourth proportional to 6,405.88, 9,607.10 and 2,456.28 is: 3,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.88 : 9,607.10 = 2,456.28 : x
  2. Step 2: Convert to fraction form
    6,405.88/9,607.10 = 2,456.28/x
  3. Step 3: Cross multiply
    6,405.88x = 9,607.10 × 2,456.28
  4. Step 4: Simplify right side
    6,405.88x = 23,597,727.59
  5. Step 5: Solve for x
    x = 23,597,727.59/6,405.88
  6. Step 6: Final answer
    x = 3,683.76

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1.5x scale

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.