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Finding the Fourth Proportional to 3,871.65, 5,343.65 and 2,193.09

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Solution

The fourth proportional to 3,871.65, 5,343.65 and 2,193.09 is: 3,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.65 : 5,343.65 = 2,193.09 : x
  2. Step 2: Convert to fraction form
    3,871.65/5,343.65 = 2,193.09/x
  3. Step 3: Cross multiply
    3,871.65x = 5,343.65 × 2,193.09
  4. Step 4: Simplify right side
    3,871.65x = 11,719,105.38
  5. Step 5: Solve for x
    x = 11,719,105.38/3,871.65
  6. Step 6: Final answer
    x = 3,026.90

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1.5x scale

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.