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Finding the Fourth Proportional to 1,882.27, 2,807 and 1,672.48

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Solution

The fourth proportional to 1,882.27, 2,807 and 1,672.48 is: 2,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.27 : 2,807 = 1,672.48 : x
  2. Step 2: Convert to fraction form
    1,882.27/2,807 = 1,672.48/x
  3. Step 3: Cross multiply
    1,882.27x = 2,807 × 1,672.48
  4. Step 4: Simplify right side
    1,882.27x = 4,694,637.33
  5. Step 5: Solve for x
    x = 4,694,637.33/1,882.27
  6. Step 6: Final answer
    x = 2,494.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.