Home / 2,191.46-3,285.27-824.42

Finding the Fourth Proportional to 2,191.46, 3,285.27 and 824.42

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Solution

The fourth proportional to 2,191.46, 3,285.27 and 824.42 is: 1,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.46 : 3,285.27 = 824.42 : x
  2. Step 2: Convert to fraction form
    2,191.46/3,285.27 = 824.42/x
  3. Step 3: Cross multiply
    2,191.46x = 3,285.27 × 824.42
  4. Step 4: Simplify right side
    2,191.46x = 2,708,442.29
  5. Step 5: Solve for x
    x = 2,708,442.29/2,191.46
  6. Step 6: Final answer
    x = 1,235.91

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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.