Home / 2,023.90-3,034.23-928.78

Finding the Fourth Proportional to 2,023.90, 3,034.23 and 928.78

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Solution

The fourth proportional to 2,023.90, 3,034.23 and 928.78 is: 1,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.90 : 3,034.23 = 928.78 : x
  2. Step 2: Convert to fraction form
    2,023.90/3,034.23 = 928.78/x
  3. Step 3: Cross multiply
    2,023.90x = 3,034.23 × 928.78
  4. Step 4: Simplify right side
    2,023.90x = 2,818,132.14
  5. Step 5: Solve for x
    x = 2,818,132.14/2,023.90
  6. Step 6: Final answer
    x = 1,392.43

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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.