Home / 1,646.46-2,469.24-824.13

Finding the Fourth Proportional to 1,646.46, 2,469.24 and 824.13

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Solution

The fourth proportional to 1,646.46, 2,469.24 and 824.13 is: 1,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.46 : 2,469.24 = 824.13 : x
  2. Step 2: Convert to fraction form
    1,646.46/2,469.24 = 824.13/x
  3. Step 3: Cross multiply
    1,646.46x = 2,469.24 × 824.13
  4. Step 4: Simplify right side
    1,646.46x = 2,034,974.76
  5. Step 5: Solve for x
    x = 2,034,974.76/1,646.46
  6. Step 6: Final answer
    x = 1,235.97

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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.