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Finding the Fourth Proportional to 17,876.90, 26,815.35 and 6,780.95

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Solution

The fourth proportional to 17,876.90, 26,815.35 and 6,780.95 is: 10,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.90 : 26,815.35 = 6,780.95 : x
  2. Step 2: Convert to fraction form
    17,876.90/26,815.35 = 6,780.95/x
  3. Step 3: Cross multiply
    17,876.90x = 26,815.35 × 6,780.95
  4. Step 4: Simplify right side
    17,876.90x = 181,833,652.62
  5. Step 5: Solve for x
    x = 181,833,652.62/17,876.90
  6. Step 6: Final answer
    x = 10,171.43

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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.