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Finding the Fourth Proportional to 9,312.64, 12,841.92 and 6,167.68

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Solution

The fourth proportional to 9,312.64, 12,841.92 and 6,167.68 is: 8,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.64 : 12,841.92 = 6,167.68 : x
  2. Step 2: Convert to fraction form
    9,312.64/12,841.92 = 6,167.68/x
  3. Step 3: Cross multiply
    9,312.64x = 12,841.92 × 6,167.68
  4. Step 4: Simplify right side
    9,312.64x = 79,204,853.15
  5. Step 5: Solve for x
    x = 79,204,853.15/9,312.64
  6. Step 6: Final answer
    x = 8,505.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.