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Finding the Fourth Proportional to 8,311.93, 12,427.80 and 8,115.10

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Solution

The fourth proportional to 8,311.93, 12,427.80 and 8,115.10 is: 12,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.93 : 12,427.80 = 8,115.10 : x
  2. Step 2: Convert to fraction form
    8,311.93/12,427.80 = 8,115.10/x
  3. Step 3: Cross multiply
    8,311.93x = 12,427.80 × 8,115.10
  4. Step 4: Simplify right side
    8,311.93x = 100,852,839.78
  5. Step 5: Solve for x
    x = 100,852,839.78/8,311.93
  6. Step 6: Final answer
    x = 12,133.50

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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.