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Finding the Fourth Proportional to 8,649.79, 12,974.70 and 2,409.82

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Solution

The fourth proportional to 8,649.79, 12,974.70 and 2,409.82 is: 3,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.79 : 12,974.70 = 2,409.82 : x
  2. Step 2: Convert to fraction form
    8,649.79/12,974.70 = 2,409.82/x
  3. Step 3: Cross multiply
    8,649.79x = 12,974.70 × 2,409.82
  4. Step 4: Simplify right side
    8,649.79x = 31,266,691.55
  5. Step 5: Solve for x
    x = 31,266,691.55/8,649.79
  6. Step 6: Final answer
    x = 3,614.73

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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.