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Finding the Fourth Proportional to 1,286.13, 1,929.24 and 853.05

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Solution

The fourth proportional to 1,286.13, 1,929.24 and 853.05 is: 1,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.13 : 1,929.24 = 853.05 : x
  2. Step 2: Convert to fraction form
    1,286.13/1,929.24 = 853.05/x
  3. Step 3: Cross multiply
    1,286.13x = 1,929.24 × 853.05
  4. Step 4: Simplify right side
    1,286.13x = 1,645,738.18
  5. Step 5: Solve for x
    x = 1,645,738.18/1,286.13
  6. Step 6: Final answer
    x = 1,279.60

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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.