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Finding the Fourth Proportional to 2,152.71, 3,229.20 and 691.47

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Solution

The fourth proportional to 2,152.71, 3,229.20 and 691.47 is: 1,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.71 : 3,229.20 = 691.47 : x
  2. Step 2: Convert to fraction form
    2,152.71/3,229.20 = 691.47/x
  3. Step 3: Cross multiply
    2,152.71x = 3,229.20 × 691.47
  4. Step 4: Simplify right side
    2,152.71x = 2,232,894.92
  5. Step 5: Solve for x
    x = 2,232,894.92/2,152.71
  6. Step 6: Final answer
    x = 1,037.25

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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.