Home / 2,275.43-3,412.40-814.25

Finding the Fourth Proportional to 2,275.43, 3,412.40 and 814.25

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Solution

The fourth proportional to 2,275.43, 3,412.40 and 814.25 is: 1,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.43 : 3,412.40 = 814.25 : x
  2. Step 2: Convert to fraction form
    2,275.43/3,412.40 = 814.25/x
  3. Step 3: Cross multiply
    2,275.43x = 3,412.40 × 814.25
  4. Step 4: Simplify right side
    2,275.43x = 2,778,551.16
  5. Step 5: Solve for x
    x = 2,778,551.16/2,275.43
  6. Step 6: Final answer
    x = 1,221.11

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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.