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Finding the Fourth Proportional to 8,651.28, 12,978.96 and 2,807.40

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Solution

The fourth proportional to 8,651.28, 12,978.96 and 2,807.40 is: 4,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.28 : 12,978.96 = 2,807.40 : x
  2. Step 2: Convert to fraction form
    8,651.28/12,978.96 = 2,807.40/x
  3. Step 3: Cross multiply
    8,651.28x = 12,978.96 × 2,807.40
  4. Step 4: Simplify right side
    8,651.28x = 36,437,132.30
  5. Step 5: Solve for x
    x = 36,437,132.30/8,651.28
  6. Step 6: Final answer
    x = 4,211.76

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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.