Home / 1,472.27-2,031.86-809.26

Finding the Fourth Proportional to 1,472.27, 2,031.86 and 809.26

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Solution

The fourth proportional to 1,472.27, 2,031.86 and 809.26 is: 1,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.27 : 2,031.86 = 809.26 : x
  2. Step 2: Convert to fraction form
    1,472.27/2,031.86 = 809.26/x
  3. Step 3: Cross multiply
    1,472.27x = 2,031.86 × 809.26
  4. Step 4: Simplify right side
    1,472.27x = 1,644,296.93
  5. Step 5: Solve for x
    x = 1,644,296.93/1,472.27
  6. Step 6: Final answer
    x = 1,116.85

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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.