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Finding the Fourth Proportional to 1,753.68, 2,634.16 and 1,391.00

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Solution

The fourth proportional to 1,753.68, 2,634.16 and 1,391.00 is: 2,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.68 : 2,634.16 = 1,391.00 : x
  2. Step 2: Convert to fraction form
    1,753.68/2,634.16 = 1,391.00/x
  3. Step 3: Cross multiply
    1,753.68x = 2,634.16 × 1,391.00
  4. Step 4: Simplify right side
    1,753.68x = 3,664,121.25
  5. Step 5: Solve for x
    x = 3,664,121.25/1,753.68
  6. Step 6: Final answer
    x = 2,089.39

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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.