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Finding the Fourth Proportional to 8,314.60, 12,468.54 and 3,117.64

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Solution

The fourth proportional to 8,314.60, 12,468.54 and 3,117.64 is: 4,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.60 : 12,468.54 = 3,117.64 : x
  2. Step 2: Convert to fraction form
    8,314.60/12,468.54 = 3,117.64/x
  3. Step 3: Cross multiply
    8,314.60x = 12,468.54 × 3,117.64
  4. Step 4: Simplify right side
    8,314.60x = 38,872,419.05
  5. Step 5: Solve for x
    x = 38,872,419.05/8,314.60
  6. Step 6: Final answer
    x = 4,675.20

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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.