Home / 2,275.16-3,412.68-814.41

Finding the Fourth Proportional to 2,275.16, 3,412.68 and 814.41

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Solution

The fourth proportional to 2,275.16, 3,412.68 and 814.41 is: 1,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.16 : 3,412.68 = 814.41 : x
  2. Step 2: Convert to fraction form
    2,275.16/3,412.68 = 814.41/x
  3. Step 3: Cross multiply
    2,275.16x = 3,412.68 × 814.41
  4. Step 4: Simplify right side
    2,275.16x = 2,779,320.72
  5. Step 5: Solve for x
    x = 2,779,320.72/2,275.16
  6. Step 6: Final answer
    x = 1,221.60

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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.