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Finding the Fourth Proportional to 13,013.66, 17,956.92 and 7,906.52

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Solution

The fourth proportional to 13,013.66, 17,956.92 and 7,906.52 is: 10,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.66 : 17,956.92 = 7,906.52 : x
  2. Step 2: Convert to fraction form
    13,013.66/17,956.92 = 7,906.52/x
  3. Step 3: Cross multiply
    13,013.66x = 17,956.92 × 7,906.52
  4. Step 4: Simplify right side
    13,013.66x = 141,976,747.12
  5. Step 5: Solve for x
    x = 141,976,747.12/13,013.66
  6. Step 6: Final answer
    x = 10,909.82

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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.