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Finding the Fourth Proportional to 8,652.52, 12,977.82 and 2,809.12

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Solution

The fourth proportional to 8,652.52, 12,977.82 and 2,809.12 is: 4,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.52 : 12,977.82 = 2,809.12 : x
  2. Step 2: Convert to fraction form
    8,652.52/12,977.82 = 2,809.12/x
  3. Step 3: Cross multiply
    8,652.52x = 12,977.82 × 2,809.12
  4. Step 4: Simplify right side
    8,652.52x = 36,456,253.72
  5. Step 5: Solve for x
    x = 36,456,253.72/8,652.52
  6. Step 6: Final answer
    x = 4,213.37

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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.