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Finding the Fourth Proportional to 7,125.14, 9,832.38 and 3,981.26

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Solution

The fourth proportional to 7,125.14, 9,832.38 and 3,981.26 is: 5,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.14 : 9,832.38 = 3,981.26 : x
  2. Step 2: Convert to fraction form
    7,125.14/9,832.38 = 3,981.26/x
  3. Step 3: Cross multiply
    7,125.14x = 9,832.38 × 3,981.26
  4. Step 4: Simplify right side
    7,125.14x = 39,145,261.20
  5. Step 5: Solve for x
    x = 39,145,261.20/7,125.14
  6. Step 6: Final answer
    x = 5,493.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.