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Finding the Fourth Proportional to 1,101.27, 1,518.17 and 838.83

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Solution

The fourth proportional to 1,101.27, 1,518.17 and 838.83 is: 1,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.27 : 1,518.17 = 838.83 : x
  2. Step 2: Convert to fraction form
    1,101.27/1,518.17 = 838.83/x
  3. Step 3: Cross multiply
    1,101.27x = 1,518.17 × 838.83
  4. Step 4: Simplify right side
    1,101.27x = 1,273,482.35
  5. Step 5: Solve for x
    x = 1,273,482.35/1,101.27
  6. Step 6: Final answer
    x = 1,156.38

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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.