Home / 1,542.96-2,315.34-928.20

Finding the Fourth Proportional to 1,542.96, 2,315.34 and 928.20

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Solution

The fourth proportional to 1,542.96, 2,315.34 and 928.20 is: 1,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.96 : 2,315.34 = 928.20 : x
  2. Step 2: Convert to fraction form
    1,542.96/2,315.34 = 928.20/x
  3. Step 3: Cross multiply
    1,542.96x = 2,315.34 × 928.20
  4. Step 4: Simplify right side
    1,542.96x = 2,149,098.59
  5. Step 5: Solve for x
    x = 2,149,098.59/1,542.96
  6. Step 6: Final answer
    x = 1,392.84

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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.