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Finding the Fourth Proportional to 6,487.40, 8,952.86 and 3,655.90

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Solution

The fourth proportional to 6,487.40, 8,952.86 and 3,655.90 is: 5,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.40 : 8,952.86 = 3,655.90 : x
  2. Step 2: Convert to fraction form
    6,487.40/8,952.86 = 3,655.90/x
  3. Step 3: Cross multiply
    6,487.40x = 8,952.86 × 3,655.90
  4. Step 4: Simplify right side
    6,487.40x = 32,730,760.87
  5. Step 5: Solve for x
    x = 32,730,760.87/6,487.40
  6. Step 6: Final answer
    x = 5,045.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.