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Finding the Fourth Proportional to 5,920, 8,168.76 and 3,267.28

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Solution

The fourth proportional to 5,920, 8,168.76 and 3,267.28 is: 4,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920 : 8,168.76 = 3,267.28 : x
  2. Step 2: Convert to fraction form
    5,920/8,168.76 = 3,267.28/x
  3. Step 3: Cross multiply
    5,920x = 8,168.76 × 3,267.28
  4. Step 4: Simplify right side
    5,920x = 26,689,626.17
  5. Step 5: Solve for x
    x = 26,689,626.17/5,920
  6. Step 6: Final answer
    x = 4,508.38

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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.