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Finding the Fourth Proportional to 5,137.68, 7,691.84 and 4,729.44

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Solution

The fourth proportional to 5,137.68, 7,691.84 and 4,729.44 is: 7,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.68 : 7,691.84 = 4,729.44 : x
  2. Step 2: Convert to fraction form
    5,137.68/7,691.84 = 4,729.44/x
  3. Step 3: Cross multiply
    5,137.68x = 7,691.84 × 4,729.44
  4. Step 4: Simplify right side
    5,137.68x = 36,378,095.77
  5. Step 5: Solve for x
    x = 36,378,095.77/5,137.68
  6. Step 6: Final answer
    x = 7,080.65

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1.5x scale

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.