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Finding the Fourth Proportional to 8,651.22, 12,974.13 and 5,689.50

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Solution

The fourth proportional to 8,651.22, 12,974.13 and 5,689.50 is: 8,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.22 : 12,974.13 = 5,689.50 : x
  2. Step 2: Convert to fraction form
    8,651.22/12,974.13 = 5,689.50/x
  3. Step 3: Cross multiply
    8,651.22x = 12,974.13 × 5,689.50
  4. Step 4: Simplify right side
    8,651.22x = 73,816,312.64
  5. Step 5: Solve for x
    x = 73,816,312.64/8,651.22
  6. Step 6: Final answer
    x = 8,532.47

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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.