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Finding the Fourth Proportional to 17,878.68, 26,822.52 and 5,398.44

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Solution

The fourth proportional to 17,878.68, 26,822.52 and 5,398.44 is: 8,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.68 : 26,822.52 = 5,398.44 : x
  2. Step 2: Convert to fraction form
    17,878.68/26,822.52 = 5,398.44/x
  3. Step 3: Cross multiply
    17,878.68x = 26,822.52 × 5,398.44
  4. Step 4: Simplify right side
    17,878.68x = 144,799,764.87
  5. Step 5: Solve for x
    x = 144,799,764.87/17,878.68
  6. Step 6: Final answer
    x = 8,099.02

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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.