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Finding the Fourth Proportional to 12,965, 17,891.70 and 7,077

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Solution

The fourth proportional to 12,965, 17,891.70 and 7,077 is: 9,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965 : 17,891.70 = 7,077 : x
  2. Step 2: Convert to fraction form
    12,965/17,891.70 = 7,077/x
  3. Step 3: Cross multiply
    12,965x = 17,891.70 × 7,077
  4. Step 4: Simplify right side
    12,965x = 126,619,560.90
  5. Step 5: Solve for x
    x = 126,619,560.90/12,965
  6. Step 6: Final answer
    x = 9,766.26

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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.