Home / 1,638.27-2,456.49-542.34

Finding the Fourth Proportional to 1,638.27, 2,456.49 and 542.34

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Solution

The fourth proportional to 1,638.27, 2,456.49 and 542.34 is: 813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.27 : 2,456.49 = 542.34 : x
  2. Step 2: Convert to fraction form
    1,638.27/2,456.49 = 542.34/x
  3. Step 3: Cross multiply
    1,638.27x = 2,456.49 × 542.34
  4. Step 4: Simplify right side
    1,638.27x = 1,332,252.79
  5. Step 5: Solve for x
    x = 1,332,252.79/1,638.27
  6. Step 6: Final answer
    x = 813.21

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Why These Related Problems?

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