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Finding the Fourth Proportional to 1,948.12, 2,922.24 and 851.92

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Solution

The fourth proportional to 1,948.12, 2,922.24 and 851.92 is: 1,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.12 : 2,922.24 = 851.92 : x
  2. Step 2: Convert to fraction form
    1,948.12/2,922.24 = 851.92/x
  3. Step 3: Cross multiply
    1,948.12x = 2,922.24 × 851.92
  4. Step 4: Simplify right side
    1,948.12x = 2,489,514.70
  5. Step 5: Solve for x
    x = 2,489,514.70/1,948.12
  6. Step 6: Final answer
    x = 1,277.91

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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.