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Finding the Fourth Proportional to 5,175.92, 7,763.24 and 1,478.48

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Solution

The fourth proportional to 5,175.92, 7,763.24 and 1,478.48 is: 2,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.92 : 7,763.24 = 1,478.48 : x
  2. Step 2: Convert to fraction form
    5,175.92/7,763.24 = 1,478.48/x
  3. Step 3: Cross multiply
    5,175.92x = 7,763.24 × 1,478.48
  4. Step 4: Simplify right side
    5,175.92x = 11,477,759.96
  5. Step 5: Solve for x
    x = 11,477,759.96/5,175.92
  6. Step 6: Final answer
    x = 2,217.53

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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.