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Finding the Fourth Proportional to 5,839.47, 8,751.42 and 2,138.22

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Solution

The fourth proportional to 5,839.47, 8,751.42 and 2,138.22 is: 3,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.47 : 8,751.42 = 2,138.22 : x
  2. Step 2: Convert to fraction form
    5,839.47/8,751.42 = 2,138.22/x
  3. Step 3: Cross multiply
    5,839.47x = 8,751.42 × 2,138.22
  4. Step 4: Simplify right side
    5,839.47x = 18,712,461.27
  5. Step 5: Solve for x
    x = 18,712,461.27/5,839.47
  6. Step 6: Final answer
    x = 3,204.48

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1.5x scale

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.