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Finding the Fourth Proportional to 8,617.74, 12,919.32 and 3,420.78

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Solution

The fourth proportional to 8,617.74, 12,919.32 and 3,420.78 is: 5,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.74 : 12,919.32 = 3,420.78 : x
  2. Step 2: Convert to fraction form
    8,617.74/12,919.32 = 3,420.78/x
  3. Step 3: Cross multiply
    8,617.74x = 12,919.32 × 3,420.78
  4. Step 4: Simplify right side
    8,617.74x = 44,194,151.47
  5. Step 5: Solve for x
    x = 44,194,151.47/8,617.74
  6. Step 6: Final answer
    x = 5,128.28

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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.