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Finding the Fourth Proportional to 8,920, 13,380.76 and 2,764

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Solution

The fourth proportional to 8,920, 13,380.76 and 2,764 is: 4,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920 : 13,380.76 = 2,764 : x
  2. Step 2: Convert to fraction form
    8,920/13,380.76 = 2,764/x
  3. Step 3: Cross multiply
    8,920x = 13,380.76 × 2,764
  4. Step 4: Simplify right side
    8,920x = 36,984,420.64
  5. Step 5: Solve for x
    x = 36,984,420.64/8,920
  6. Step 6: Final answer
    x = 4,146.24

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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.