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Finding the Fourth Proportional to 8,618.96, 12,947.88 and 5,158.64

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Solution

The fourth proportional to 8,618.96, 12,947.88 and 5,158.64 is: 7,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.96 : 12,947.88 = 5,158.64 : x
  2. Step 2: Convert to fraction form
    8,618.96/12,947.88 = 5,158.64/x
  3. Step 3: Cross multiply
    8,618.96x = 12,947.88 × 5,158.64
  4. Step 4: Simplify right side
    8,618.96x = 66,793,451.68
  5. Step 5: Solve for x
    x = 66,793,451.68/8,618.96
  6. Step 6: Final answer
    x = 7,749.60

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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.