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Finding the Fourth Proportional to 1,879.40, 2,591.86 and 1,613.76

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Solution

The fourth proportional to 1,879.40, 2,591.86 and 1,613.76 is: 2,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.40 : 2,591.86 = 1,613.76 : x
  2. Step 2: Convert to fraction form
    1,879.40/2,591.86 = 1,613.76/x
  3. Step 3: Cross multiply
    1,879.40x = 2,591.86 × 1,613.76
  4. Step 4: Simplify right side
    1,879.40x = 4,182,627.46
  5. Step 5: Solve for x
    x = 4,182,627.46/1,879.40
  6. Step 6: Final answer
    x = 2,225.51

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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.