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Finding the Fourth Proportional to 8,649.96, 12,974.94 and 2,409.72

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Solution

The fourth proportional to 8,649.96, 12,974.94 and 2,409.72 is: 3,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.96 : 12,974.94 = 2,409.72 : x
  2. Step 2: Convert to fraction form
    8,649.96/12,974.94 = 2,409.72/x
  3. Step 3: Cross multiply
    8,649.96x = 12,974.94 × 2,409.72
  4. Step 4: Simplify right side
    8,649.96x = 31,265,972.42
  5. Step 5: Solve for x
    x = 31,265,972.42/8,649.96
  6. Step 6: Final answer
    x = 3,614.58

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Double scale
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Similar ratio
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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.