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Finding the Fourth Proportional to 8,616.96, 12,944.88 and 5,156.64

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Solution

The fourth proportional to 8,616.96, 12,944.88 and 5,156.64 is: 7,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.96 : 12,944.88 = 5,156.64 : x
  2. Step 2: Convert to fraction form
    8,616.96/12,944.88 = 5,156.64/x
  3. Step 3: Cross multiply
    8,616.96x = 12,944.88 × 5,156.64
  4. Step 4: Simplify right side
    8,616.96x = 66,752,086.00
  5. Step 5: Solve for x
    x = 66,752,086.00/8,616.96
  6. Step 6: Final answer
    x = 7,746.59

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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.