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Finding the Fourth Proportional to 1,949.59, 2,922.72 and 853.13

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Solution

The fourth proportional to 1,949.59, 2,922.72 and 853.13 is: 1,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.59 : 2,922.72 = 853.13 : x
  2. Step 2: Convert to fraction form
    1,949.59/2,922.72 = 853.13/x
  3. Step 3: Cross multiply
    1,949.59x = 2,922.72 × 853.13
  4. Step 4: Simplify right side
    1,949.59x = 2,493,460.11
  5. Step 5: Solve for x
    x = 2,493,460.11/1,949.59
  6. Step 6: Final answer
    x = 1,278.97

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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.