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Finding the Fourth Proportional to 8,959.91, 13,440 and 3,116.72

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Solution

The fourth proportional to 8,959.91, 13,440 and 3,116.72 is: 4,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.91 : 13,440 = 3,116.72 : x
  2. Step 2: Convert to fraction form
    8,959.91/13,440 = 3,116.72/x
  3. Step 3: Cross multiply
    8,959.91x = 13,440 × 3,116.72
  4. Step 4: Simplify right side
    8,959.91x = 41,888,716.80
  5. Step 5: Solve for x
    x = 41,888,716.80/8,959.91
  6. Step 6: Final answer
    x = 4,675.13

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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.