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Finding the Fourth Proportional to 2,671.75, 4,007.13 and 723.70

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Solution

The fourth proportional to 2,671.75, 4,007.13 and 723.70 is: 1,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.75 : 4,007.13 = 723.70 : x
  2. Step 2: Convert to fraction form
    2,671.75/4,007.13 = 723.70/x
  3. Step 3: Cross multiply
    2,671.75x = 4,007.13 × 723.70
  4. Step 4: Simplify right side
    2,671.75x = 2,899,959.98
  5. Step 5: Solve for x
    x = 2,899,959.98/2,671.75
  6. Step 6: Final answer
    x = 1,085.42

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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.