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Finding the Fourth Proportional to 11,761.80, 17,623.80 and 6,207.90

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Solution

The fourth proportional to 11,761.80, 17,623.80 and 6,207.90 is: 9,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.80 : 17,623.80 = 6,207.90 : x
  2. Step 2: Convert to fraction form
    11,761.80/17,623.80 = 6,207.90/x
  3. Step 3: Cross multiply
    11,761.80x = 17,623.80 × 6,207.90
  4. Step 4: Simplify right side
    11,761.80x = 109,406,788.02
  5. Step 5: Solve for x
    x = 109,406,788.02/11,761.80
  6. Step 6: Final answer
    x = 9,301.87

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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.