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Finding the Fourth Proportional to 8,649.53, 12,974.31 and 2,409.55

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Solution

The fourth proportional to 8,649.53, 12,974.31 and 2,409.55 is: 3,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.53 : 12,974.31 = 2,409.55 : x
  2. Step 2: Convert to fraction form
    8,649.53/12,974.31 = 2,409.55/x
  3. Step 3: Cross multiply
    8,649.53x = 12,974.31 × 2,409.55
  4. Step 4: Simplify right side
    8,649.53x = 31,262,216.22
  5. Step 5: Solve for x
    x = 31,262,216.22/8,649.53
  6. Step 6: Final answer
    x = 3,614.32

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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.