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Finding the Fourth Proportional to 8,092.16, 12,138.24 and 7,611.20

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Solution

The fourth proportional to 8,092.16, 12,138.24 and 7,611.20 is: 11,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.16 : 12,138.24 = 7,611.20 : x
  2. Step 2: Convert to fraction form
    8,092.16/12,138.24 = 7,611.20/x
  3. Step 3: Cross multiply
    8,092.16x = 12,138.24 × 7,611.20
  4. Step 4: Simplify right side
    8,092.16x = 92,386,572.29
  5. Step 5: Solve for x
    x = 92,386,572.29/8,092.16
  6. Step 6: Final answer
    x = 11,416.80

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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.