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Finding the Fourth Proportional to 2,182.96, 3,013.10 and 1,343.80

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Solution

The fourth proportional to 2,182.96, 3,013.10 and 1,343.80 is: 1,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.96 : 3,013.10 = 1,343.80 : x
  2. Step 2: Convert to fraction form
    2,182.96/3,013.10 = 1,343.80/x
  3. Step 3: Cross multiply
    2,182.96x = 3,013.10 × 1,343.80
  4. Step 4: Simplify right side
    2,182.96x = 4,049,003.78
  5. Step 5: Solve for x
    x = 4,049,003.78/2,182.96
  6. Step 6: Final answer
    x = 1,854.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.