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Finding the Fourth Proportional to 2,671.49, 4,007.24 and 723.84

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Solution

The fourth proportional to 2,671.49, 4,007.24 and 723.84 is: 1,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.49 : 4,007.24 = 723.84 : x
  2. Step 2: Convert to fraction form
    2,671.49/4,007.24 = 723.84/x
  3. Step 3: Cross multiply
    2,671.49x = 4,007.24 × 723.84
  4. Step 4: Simplify right side
    2,671.49x = 2,900,596.98
  5. Step 5: Solve for x
    x = 2,900,596.98/2,671.49
  6. Step 6: Final answer
    x = 1,085.76

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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.