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Finding the Fourth Proportional to 1,591.76, 2,197.86 and 1,003.70

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Solution

The fourth proportional to 1,591.76, 2,197.86 and 1,003.70 is: 1,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.76 : 2,197.86 = 1,003.70 : x
  2. Step 2: Convert to fraction form
    1,591.76/2,197.86 = 1,003.70/x
  3. Step 3: Cross multiply
    1,591.76x = 2,197.86 × 1,003.70
  4. Step 4: Simplify right side
    1,591.76x = 2,205,992.08
  5. Step 5: Solve for x
    x = 2,205,992.08/1,591.76
  6. Step 6: Final answer
    x = 1,385.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.