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Finding the Fourth Proportional to 3,987, 5,981.46 and 1,251

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Solution

The fourth proportional to 3,987, 5,981.46 and 1,251 is: 1,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987 : 5,981.46 = 1,251 : x
  2. Step 2: Convert to fraction form
    3,987/5,981.46 = 1,251/x
  3. Step 3: Cross multiply
    3,987x = 5,981.46 × 1,251
  4. Step 4: Simplify right side
    3,987x = 7,482,806.46
  5. Step 5: Solve for x
    x = 7,482,806.46/3,987
  6. Step 6: Final answer
    x = 1,876.80

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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.