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Finding the Fourth Proportional to 8,117.78, 12,169.36 and 2,920

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Solution

The fourth proportional to 8,117.78, 12,169.36 and 2,920 is: 4,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.78 : 12,169.36 = 2,920 : x
  2. Step 2: Convert to fraction form
    8,117.78/12,169.36 = 2,920/x
  3. Step 3: Cross multiply
    8,117.78x = 12,169.36 × 2,920
  4. Step 4: Simplify right side
    8,117.78x = 35,534,531.20
  5. Step 5: Solve for x
    x = 35,534,531.20/8,117.78
  6. Step 6: Final answer
    x = 4,377.37

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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.