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Finding the Fourth Proportional to 5,778.60, 7,972.32 and 3,790.26

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Solution

The fourth proportional to 5,778.60, 7,972.32 and 3,790.26 is: 5,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.60 : 7,972.32 = 3,790.26 : x
  2. Step 2: Convert to fraction form
    5,778.60/7,972.32 = 3,790.26/x
  3. Step 3: Cross multiply
    5,778.60x = 7,972.32 × 3,790.26
  4. Step 4: Simplify right side
    5,778.60x = 30,217,165.60
  5. Step 5: Solve for x
    x = 30,217,165.60/5,778.60
  6. Step 6: Final answer
    x = 5,229.15

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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.