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Finding the Fourth Proportional to 2,251.24, 3,377.04 and 865.24

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Solution

The fourth proportional to 2,251.24, 3,377.04 and 865.24 is: 1,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.24 : 3,377.04 = 865.24 : x
  2. Step 2: Convert to fraction form
    2,251.24/3,377.04 = 865.24/x
  3. Step 3: Cross multiply
    2,251.24x = 3,377.04 × 865.24
  4. Step 4: Simplify right side
    2,251.24x = 2,921,950.09
  5. Step 5: Solve for x
    x = 2,921,950.09/2,251.24
  6. Step 6: Final answer
    x = 1,297.93

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1.5x scale

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.