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Finding the Fourth Proportional to 3,959.76, 5,934.86 and 1,458.96

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Solution

The fourth proportional to 3,959.76, 5,934.86 and 1,458.96 is: 2,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.76 : 5,934.86 = 1,458.96 : x
  2. Step 2: Convert to fraction form
    3,959.76/5,934.86 = 1,458.96/x
  3. Step 3: Cross multiply
    3,959.76x = 5,934.86 × 1,458.96
  4. Step 4: Simplify right side
    3,959.76x = 8,658,723.35
  5. Step 5: Solve for x
    x = 8,658,723.35/3,959.76
  6. Step 6: Final answer
    x = 2,186.68

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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.