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Finding the Fourth Proportional to 5,410.80, 8,117 and 3,763.24

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Solution

The fourth proportional to 5,410.80, 8,117 and 3,763.24 is: 5,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.80 : 8,117 = 3,763.24 : x
  2. Step 2: Convert to fraction form
    5,410.80/8,117 = 3,763.24/x
  3. Step 3: Cross multiply
    5,410.80x = 8,117 × 3,763.24
  4. Step 4: Simplify right side
    5,410.80x = 30,546,219.08
  5. Step 5: Solve for x
    x = 30,546,219.08/5,410.80
  6. Step 6: Final answer
    x = 5,645.42

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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.