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Finding the Fourth Proportional to 5,920, 8,169.60 and 3,712

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Solution

The fourth proportional to 5,920, 8,169.60 and 3,712 is: 5,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920 : 8,169.60 = 3,712 : x
  2. Step 2: Convert to fraction form
    5,920/8,169.60 = 3,712/x
  3. Step 3: Cross multiply
    5,920x = 8,169.60 × 3,712
  4. Step 4: Simplify right side
    5,920x = 30,325,555.20
  5. Step 5: Solve for x
    x = 30,325,555.20/5,920
  6. Step 6: Final answer
    x = 5,122.56

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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.