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Finding the Fourth Proportional to 3,891.58, 5,839.71 and 1,392.57

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Solution

The fourth proportional to 3,891.58, 5,839.71 and 1,392.57 is: 2,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.58 : 5,839.71 = 1,392.57 : x
  2. Step 2: Convert to fraction form
    3,891.58/5,839.71 = 1,392.57/x
  3. Step 3: Cross multiply
    3,891.58x = 5,839.71 × 1,392.57
  4. Step 4: Simplify right side
    3,891.58x = 8,132,204.95
  5. Step 5: Solve for x
    x = 8,132,204.95/3,891.58
  6. Step 6: Final answer
    x = 2,089.69

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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.