Home / 2,114.08-3,169.20-814.24

Finding the Fourth Proportional to 2,114.08, 3,169.20 and 814.24

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Solution

The fourth proportional to 2,114.08, 3,169.20 and 814.24 is: 1,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.08 : 3,169.20 = 814.24 : x
  2. Step 2: Convert to fraction form
    2,114.08/3,169.20 = 814.24/x
  3. Step 3: Cross multiply
    2,114.08x = 3,169.20 × 814.24
  4. Step 4: Simplify right side
    2,114.08x = 2,580,489.41
  5. Step 5: Solve for x
    x = 2,580,489.41/2,114.08
  6. Step 6: Final answer
    x = 1,220.62

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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.