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Finding the Fourth Proportional to 2,251.13, 3,377.23 and 712.13

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Solution

The fourth proportional to 2,251.13, 3,377.23 and 712.13 is: 1,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.13 : 3,377.23 = 712.13 : x
  2. Step 2: Convert to fraction form
    2,251.13/3,377.23 = 712.13/x
  3. Step 3: Cross multiply
    2,251.13x = 3,377.23 × 712.13
  4. Step 4: Simplify right side
    2,251.13x = 2,405,008.13
  5. Step 5: Solve for x
    x = 2,405,008.13/2,251.13
  6. Step 6: Final answer
    x = 1,068.36

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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.