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Finding the Fourth Proportional to 2,077.78, 3,113.98 and 843.76

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Solution

The fourth proportional to 2,077.78, 3,113.98 and 843.76 is: 1,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.78 : 3,113.98 = 843.76 : x
  2. Step 2: Convert to fraction form
    2,077.78/3,113.98 = 843.76/x
  3. Step 3: Cross multiply
    2,077.78x = 3,113.98 × 843.76
  4. Step 4: Simplify right side
    2,077.78x = 2,627,451.76
  5. Step 5: Solve for x
    x = 2,627,451.76/2,077.78
  6. Step 6: Final answer
    x = 1,264.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.