Home / 2,023.80-3,034.80-928.50

Finding the Fourth Proportional to 2,023.80, 3,034.80 and 928.50

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Solution

The fourth proportional to 2,023.80, 3,034.80 and 928.50 is: 1,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.80 : 3,034.80 = 928.50 : x
  2. Step 2: Convert to fraction form
    2,023.80/3,034.80 = 928.50/x
  3. Step 3: Cross multiply
    2,023.80x = 3,034.80 × 928.50
  4. Step 4: Simplify right side
    2,023.80x = 2,817,811.80
  5. Step 5: Solve for x
    x = 2,817,811.80/2,023.80
  6. Step 6: Final answer
    x = 1,392.34

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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.