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Finding the Fourth Proportional to 17,408, 26,113.60 and 6,877.44

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Solution

The fourth proportional to 17,408, 26,113.60 and 6,877.44 is: 10,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408 : 26,113.60 = 6,877.44 : x
  2. Step 2: Convert to fraction form
    17,408/26,113.60 = 6,877.44/x
  3. Step 3: Cross multiply
    17,408x = 26,113.60 × 6,877.44
  4. Step 4: Simplify right side
    17,408x = 179,594,717.18
  5. Step 5: Solve for x
    x = 179,594,717.18/17,408
  6. Step 6: Final answer
    x = 10,316.79

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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.