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Finding the Fourth Proportional to 12,758, 17,605.68 and 7,169.12

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Solution

The fourth proportional to 12,758, 17,605.68 and 7,169.12 is: 9,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758 : 17,605.68 = 7,169.12 : x
  2. Step 2: Convert to fraction form
    12,758/17,605.68 = 7,169.12/x
  3. Step 3: Cross multiply
    12,758x = 17,605.68 × 7,169.12
  4. Step 4: Simplify right side
    12,758x = 126,217,232.60
  5. Step 5: Solve for x
    x = 126,217,232.60/12,758
  6. Step 6: Final answer
    x = 9,893.18

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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.