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Finding the Fourth Proportional to 17,876.80, 26,823.12 and 6,198.40

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Solution

The fourth proportional to 17,876.80, 26,823.12 and 6,198.40 is: 9,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.80 : 26,823.12 = 6,198.40 : x
  2. Step 2: Convert to fraction form
    17,876.80/26,823.12 = 6,198.40/x
  3. Step 3: Cross multiply
    17,876.80x = 26,823.12 × 6,198.40
  4. Step 4: Simplify right side
    17,876.80x = 166,260,427.01
  5. Step 5: Solve for x
    x = 166,260,427.01/17,876.80
  6. Step 6: Final answer
    x = 9,300.35

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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.