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Finding the Fourth Proportional to 3,154.87, 4,733.29 and 1,306.86

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Solution

The fourth proportional to 3,154.87, 4,733.29 and 1,306.86 is: 1,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.87 : 4,733.29 = 1,306.86 : x
  2. Step 2: Convert to fraction form
    3,154.87/4,733.29 = 1,306.86/x
  3. Step 3: Cross multiply
    3,154.87x = 4,733.29 × 1,306.86
  4. Step 4: Simplify right side
    3,154.87x = 6,185,731.25
  5. Step 5: Solve for x
    x = 6,185,731.25/3,154.87
  6. Step 6: Final answer
    x = 1,960.69

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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.