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Finding the Fourth Proportional to 1,671.74, 2,509.40 and 1,414.88

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Solution

The fourth proportional to 1,671.74, 2,509.40 and 1,414.88 is: 2,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.74 : 2,509.40 = 1,414.88 : x
  2. Step 2: Convert to fraction form
    1,671.74/2,509.40 = 1,414.88/x
  3. Step 3: Cross multiply
    1,671.74x = 2,509.40 × 1,414.88
  4. Step 4: Simplify right side
    1,671.74x = 3,550,499.87
  5. Step 5: Solve for x
    x = 3,550,499.87/1,671.74
  6. Step 6: Final answer
    x = 2,123.83

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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.