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Finding the Fourth Proportional to 12,456.15, 17,186 and 7,149.03

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Solution

The fourth proportional to 12,456.15, 17,186 and 7,149.03 is: 9,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.15 : 17,186 = 7,149.03 : x
  2. Step 2: Convert to fraction form
    12,456.15/17,186 = 7,149.03/x
  3. Step 3: Cross multiply
    12,456.15x = 17,186 × 7,149.03
  4. Step 4: Simplify right side
    12,456.15x = 122,863,143.65
  5. Step 5: Solve for x
    x = 122,863,143.65/12,456.15
  6. Step 6: Final answer
    x = 9,863.66

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1.5x scale

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.