Home / 5,744-7,922.94-4,147.98

Finding the Fourth Proportional to 5,744, 7,922.94 and 4,147.98

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Solution

The fourth proportional to 5,744, 7,922.94 and 4,147.98 is: 5,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744 : 7,922.94 = 4,147.98 : x
  2. Step 2: Convert to fraction form
    5,744/7,922.94 = 4,147.98/x
  3. Step 3: Cross multiply
    5,744x = 7,922.94 × 4,147.98
  4. Step 4: Simplify right side
    5,744x = 32,864,196.66
  5. Step 5: Solve for x
    x = 32,864,196.66/5,744
  6. Step 6: Final answer
    x = 5,721.48

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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.