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Finding the Fourth Proportional to 7,832.35, 11,748.49 and 1,988.96

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Solution

The fourth proportional to 7,832.35, 11,748.49 and 1,988.96 is: 2,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.35 : 11,748.49 = 1,988.96 : x
  2. Step 2: Convert to fraction form
    7,832.35/11,748.49 = 1,988.96/x
  3. Step 3: Cross multiply
    7,832.35x = 11,748.49 × 1,988.96
  4. Step 4: Simplify right side
    7,832.35x = 23,367,224.14
  5. Step 5: Solve for x
    x = 23,367,224.14/7,832.35
  6. Step 6: Final answer
    x = 2,983.43

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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.