Home / 2,073.52-2,861.44-1,142

Finding the Fourth Proportional to 2,073.52, 2,861.44 and 1,142

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Solution

The fourth proportional to 2,073.52, 2,861.44 and 1,142 is: 1,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.52 : 2,861.44 = 1,142 : x
  2. Step 2: Convert to fraction form
    2,073.52/2,861.44 = 1,142/x
  3. Step 3: Cross multiply
    2,073.52x = 2,861.44 × 1,142
  4. Step 4: Simplify right side
    2,073.52x = 3,267,764.48
  5. Step 5: Solve for x
    x = 3,267,764.48/2,073.52
  6. Step 6: Final answer
    x = 1,575.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.