Home / 2,287.14-3,430.98-826.44

Finding the Fourth Proportional to 2,287.14, 3,430.98 and 826.44

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Solution

The fourth proportional to 2,287.14, 3,430.98 and 826.44 is: 1,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.14 : 3,430.98 = 826.44 : x
  2. Step 2: Convert to fraction form
    2,287.14/3,430.98 = 826.44/x
  3. Step 3: Cross multiply
    2,287.14x = 3,430.98 × 826.44
  4. Step 4: Simplify right side
    2,287.14x = 2,835,499.11
  5. Step 5: Solve for x
    x = 2,835,499.11/2,287.14
  6. Step 6: Final answer
    x = 1,239.76

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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.