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Finding the Fourth Proportional to 1,911.00, 2,863.84 and 868.46

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Solution

The fourth proportional to 1,911.00, 2,863.84 and 868.46 is: 1,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.00 : 2,863.84 = 868.46 : x
  2. Step 2: Convert to fraction form
    1,911.00/2,863.84 = 868.46/x
  3. Step 3: Cross multiply
    1,911.00x = 2,863.84 × 868.46
  4. Step 4: Simplify right side
    1,911.00x = 2,487,115.62
  5. Step 5: Solve for x
    x = 2,487,115.62/1,911.00
  6. Step 6: Final answer
    x = 1,301.47

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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.