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Finding the Fourth Proportional to 5,480.50, 8,225.23 and 3,840.34

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Solution

The fourth proportional to 5,480.50, 8,225.23 and 3,840.34 is: 5,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.50 : 8,225.23 = 3,840.34 : x
  2. Step 2: Convert to fraction form
    5,480.50/8,225.23 = 3,840.34/x
  3. Step 3: Cross multiply
    5,480.50x = 8,225.23 × 3,840.34
  4. Step 4: Simplify right side
    5,480.50x = 31,587,679.78
  5. Step 5: Solve for x
    x = 31,587,679.78/5,480.50
  6. Step 6: Final answer
    x = 5,763.65

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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.