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Finding the Fourth Proportional to 5,778.87, 7,969.92 and 3,762.78

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Solution

The fourth proportional to 5,778.87, 7,969.92 and 3,762.78 is: 5,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.87 : 7,969.92 = 3,762.78 : x
  2. Step 2: Convert to fraction form
    5,778.87/7,969.92 = 3,762.78/x
  3. Step 3: Cross multiply
    5,778.87x = 7,969.92 × 3,762.78
  4. Step 4: Simplify right side
    5,778.87x = 29,989,055.58
  5. Step 5: Solve for x
    x = 29,989,055.58/5,778.87
  6. Step 6: Final answer
    x = 5,189.43

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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.