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Finding the Fourth Proportional to 8,114.52, 12,171.78 and 7,589.64

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Solution

The fourth proportional to 8,114.52, 12,171.78 and 7,589.64 is: 11,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.52 : 12,171.78 = 7,589.64 : x
  2. Step 2: Convert to fraction form
    8,114.52/12,171.78 = 7,589.64/x
  3. Step 3: Cross multiply
    8,114.52x = 12,171.78 × 7,589.64
  4. Step 4: Simplify right side
    8,114.52x = 92,379,428.36
  5. Step 5: Solve for x
    x = 92,379,428.36/8,114.52
  6. Step 6: Final answer
    x = 11,384.46

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Double scale
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Similar ratio
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1.5x scale

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.