Home / 5,721-8,575.80-5,102.16

Finding the Fourth Proportional to 5,721, 8,575.80 and 5,102.16

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Solution

The fourth proportional to 5,721, 8,575.80 and 5,102.16 is: 7,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721 : 8,575.80 = 5,102.16 : x
  2. Step 2: Convert to fraction form
    5,721/8,575.80 = 5,102.16/x
  3. Step 3: Cross multiply
    5,721x = 8,575.80 × 5,102.16
  4. Step 4: Simplify right side
    5,721x = 43,755,103.73
  5. Step 5: Solve for x
    x = 43,755,103.73/5,721
  6. Step 6: Final answer
    x = 7,648.16

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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.