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Finding the Fourth Proportional to 12,961, 17,886.18 and 7,073

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Solution

The fourth proportional to 12,961, 17,886.18 and 7,073 is: 9,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961 : 17,886.18 = 7,073 : x
  2. Step 2: Convert to fraction form
    12,961/17,886.18 = 7,073/x
  3. Step 3: Cross multiply
    12,961x = 17,886.18 × 7,073
  4. Step 4: Simplify right side
    12,961x = 126,508,951.14
  5. Step 5: Solve for x
    x = 126,508,951.14/12,961
  6. Step 6: Final answer
    x = 9,760.74

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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.