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Finding the Fourth Proportional to 1,391.97, 2,088.41 and 871.33

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Solution

The fourth proportional to 1,391.97, 2,088.41 and 871.33 is: 1,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.97 : 2,088.41 = 871.33 : x
  2. Step 2: Convert to fraction form
    1,391.97/2,088.41 = 871.33/x
  3. Step 3: Cross multiply
    1,391.97x = 2,088.41 × 871.33
  4. Step 4: Simplify right side
    1,391.97x = 1,819,694.29
  5. Step 5: Solve for x
    x = 1,819,694.29/1,391.97
  6. Step 6: Final answer
    x = 1,307.28

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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.