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Finding the Fourth Proportional to 2,623.40, 3,934.10 and 867.87

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Solution

The fourth proportional to 2,623.40, 3,934.10 and 867.87 is: 1,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.40 : 3,934.10 = 867.87 : x
  2. Step 2: Convert to fraction form
    2,623.40/3,934.10 = 867.87/x
  3. Step 3: Cross multiply
    2,623.40x = 3,934.10 × 867.87
  4. Step 4: Simplify right side
    2,623.40x = 3,414,297.78
  5. Step 5: Solve for x
    x = 3,414,297.78/2,623.40
  6. Step 6: Final answer
    x = 1,301.48

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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.