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Finding the Fourth Proportional to 8,818.95, 13,218 and 3,878.26

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Solution

The fourth proportional to 8,818.95, 13,218 and 3,878.26 is: 5,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,818.95 : 13,218 = 3,878.26 : x
  2. Step 2: Convert to fraction form
    8,818.95/13,218 = 3,878.26/x
  3. Step 3: Cross multiply
    8,818.95x = 13,218 × 3,878.26
  4. Step 4: Simplify right side
    8,818.95x = 51,262,840.68
  5. Step 5: Solve for x
    x = 51,262,840.68/8,818.95
  6. Step 6: Final answer
    x = 5,812.81

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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.