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Finding the Fourth Proportional to 8,976, 13,464 and 3,131.04

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Solution

The fourth proportional to 8,976, 13,464 and 3,131.04 is: 4,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976 : 13,464 = 3,131.04 : x
  2. Step 2: Convert to fraction form
    8,976/13,464 = 3,131.04/x
  3. Step 3: Cross multiply
    8,976x = 13,464 × 3,131.04
  4. Step 4: Simplify right side
    8,976x = 42,156,322.56
  5. Step 5: Solve for x
    x = 42,156,322.56/8,976
  6. Step 6: Final answer
    x = 4,696.56

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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.