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Finding the Fourth Proportional to 2,152.95, 3,229.34 and 613.95

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Solution

The fourth proportional to 2,152.95, 3,229.34 and 613.95 is: 920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.95 : 3,229.34 = 613.95 : x
  2. Step 2: Convert to fraction form
    2,152.95/3,229.34 = 613.95/x
  3. Step 3: Cross multiply
    2,152.95x = 3,229.34 × 613.95
  4. Step 4: Simplify right side
    2,152.95x = 1,982,653.29
  5. Step 5: Solve for x
    x = 1,982,653.29/2,152.95
  6. Step 6: Final answer
    x = 920.90

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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.