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Finding the Fourth Proportional to 8,380, 12,552.06 and 4,418.74

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Solution

The fourth proportional to 8,380, 12,552.06 and 4,418.74 is: 6,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380 : 12,552.06 = 4,418.74 : x
  2. Step 2: Convert to fraction form
    8,380/12,552.06 = 4,418.74/x
  3. Step 3: Cross multiply
    8,380x = 12,552.06 × 4,418.74
  4. Step 4: Simplify right side
    8,380x = 55,464,289.60
  5. Step 5: Solve for x
    x = 55,464,289.60/8,380
  6. Step 6: Final answer
    x = 6,618.65

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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.