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Finding the Fourth Proportional to 17,876.72, 26,780.20 and 11,702

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Solution

The fourth proportional to 17,876.72, 26,780.20 and 11,702 is: 17,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.72 : 26,780.20 = 11,702 : x
  2. Step 2: Convert to fraction form
    17,876.72/26,780.20 = 11,702/x
  3. Step 3: Cross multiply
    17,876.72x = 26,780.20 × 11,702
  4. Step 4: Simplify right side
    17,876.72x = 313,381,900.40
  5. Step 5: Solve for x
    x = 313,381,900.40/17,876.72
  6. Step 6: Final answer
    x = 17,530.17

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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.