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Finding the Fourth Proportional to 8,655.52, 12,982.04 and 4,945.72

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Solution

The fourth proportional to 8,655.52, 12,982.04 and 4,945.72 is: 7,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.52 : 12,982.04 = 4,945.72 : x
  2. Step 2: Convert to fraction form
    8,655.52/12,982.04 = 4,945.72/x
  3. Step 3: Cross multiply
    8,655.52x = 12,982.04 × 4,945.72
  4. Step 4: Simplify right side
    8,655.52x = 64,205,534.87
  5. Step 5: Solve for x
    x = 64,205,534.87/8,655.52
  6. Step 6: Final answer
    x = 7,417.87

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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.