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Finding the Fourth Proportional to 7,137.66, 10,708.50 and 6,251.91

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Solution

The fourth proportional to 7,137.66, 10,708.50 and 6,251.91 is: 9,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.66 : 10,708.50 = 6,251.91 : x
  2. Step 2: Convert to fraction form
    7,137.66/10,708.50 = 6,251.91/x
  3. Step 3: Cross multiply
    7,137.66x = 10,708.50 × 6,251.91
  4. Step 4: Simplify right side
    7,137.66x = 66,948,578.24
  5. Step 5: Solve for x
    x = 66,948,578.24/7,137.66
  6. Step 6: Final answer
    x = 9,379.63

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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.