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Finding the Fourth Proportional to 3,151.29, 4,726.80 and 811.29

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Solution

The fourth proportional to 3,151.29, 4,726.80 and 811.29 is: 1,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.29 : 4,726.80 = 811.29 : x
  2. Step 2: Convert to fraction form
    3,151.29/4,726.80 = 811.29/x
  3. Step 3: Cross multiply
    3,151.29x = 4,726.80 × 811.29
  4. Step 4: Simplify right side
    3,151.29x = 3,834,805.57
  5. Step 5: Solve for x
    x = 3,834,805.57/3,151.29
  6. Step 6: Final answer
    x = 1,216.90

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1.5x scale

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.