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Finding the Fourth Proportional to 8,232.30, 12,348.45 and 8,159.40

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Solution

The fourth proportional to 8,232.30, 12,348.45 and 8,159.40 is: 12,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.30 : 12,348.45 = 8,159.40 : x
  2. Step 2: Convert to fraction form
    8,232.30/12,348.45 = 8,159.40/x
  3. Step 3: Cross multiply
    8,232.30x = 12,348.45 × 8,159.40
  4. Step 4: Simplify right side
    8,232.30x = 100,755,942.93
  5. Step 5: Solve for x
    x = 100,755,942.93/8,232.30
  6. Step 6: Final answer
    x = 12,239.10

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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.