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Finding the Fourth Proportional to 8,139.80, 12,209.17 and 2,597.14

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Solution

The fourth proportional to 8,139.80, 12,209.17 and 2,597.14 is: 3,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.80 : 12,209.17 = 2,597.14 : x
  2. Step 2: Convert to fraction form
    8,139.80/12,209.17 = 2,597.14/x
  3. Step 3: Cross multiply
    8,139.80x = 12,209.17 × 2,597.14
  4. Step 4: Simplify right side
    8,139.80x = 31,708,923.77
  5. Step 5: Solve for x
    x = 31,708,923.77/8,139.80
  6. Step 6: Final answer
    x = 3,895.54

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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.