Home / 1,981.19-2,733.96-1,142.05

Finding the Fourth Proportional to 1,981.19, 2,733.96 and 1,142.05

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Solution

The fourth proportional to 1,981.19, 2,733.96 and 1,142.05 is: 1,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.19 : 2,733.96 = 1,142.05 : x
  2. Step 2: Convert to fraction form
    1,981.19/2,733.96 = 1,142.05/x
  3. Step 3: Cross multiply
    1,981.19x = 2,733.96 × 1,142.05
  4. Step 4: Simplify right side
    1,981.19x = 3,122,306.47
  5. Step 5: Solve for x
    x = 3,122,306.47/1,981.19
  6. Step 6: Final answer
    x = 1,575.97

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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.