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Finding the Fourth Proportional to 3,756.92, 5,189.47 and 2,883.47

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Solution

The fourth proportional to 3,756.92, 5,189.47 and 2,883.47 is: 3,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.92 : 5,189.47 = 2,883.47 : x
  2. Step 2: Convert to fraction form
    3,756.92/5,189.47 = 2,883.47/x
  3. Step 3: Cross multiply
    3,756.92x = 5,189.47 × 2,883.47
  4. Step 4: Simplify right side
    3,756.92x = 14,963,647.90
  5. Step 5: Solve for x
    x = 14,963,647.90/3,756.92
  6. Step 6: Final answer
    x = 3,982.96

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1.5x scale

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.