Home / 2,047.10-3,070.97-814.52

Finding the Fourth Proportional to 2,047.10, 3,070.97 and 814.52

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Solution

The fourth proportional to 2,047.10, 3,070.97 and 814.52 is: 1,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.10 : 3,070.97 = 814.52 : x
  2. Step 2: Convert to fraction form
    2,047.10/3,070.97 = 814.52/x
  3. Step 3: Cross multiply
    2,047.10x = 3,070.97 × 814.52
  4. Step 4: Simplify right side
    2,047.10x = 2,501,366.48
  5. Step 5: Solve for x
    x = 2,501,366.48/2,047.10
  6. Step 6: Final answer
    x = 1,221.91

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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.