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Finding the Fourth Proportional to 1,102.27, 1,519.54 and 839.83

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Solution

The fourth proportional to 1,102.27, 1,519.54 and 839.83 is: 1,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.27 : 1,519.54 = 839.83 : x
  2. Step 2: Convert to fraction form
    1,102.27/1,519.54 = 839.83/x
  3. Step 3: Cross multiply
    1,102.27x = 1,519.54 × 839.83
  4. Step 4: Simplify right side
    1,102.27x = 1,276,155.28
  5. Step 5: Solve for x
    x = 1,276,155.28/1,102.27
  6. Step 6: Final answer
    x = 1,157.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.