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Finding the Fourth Proportional to 12,874, 17,766.12 and 7,285

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Solution

The fourth proportional to 12,874, 17,766.12 and 7,285 is: 10,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874 : 17,766.12 = 7,285 : x
  2. Step 2: Convert to fraction form
    12,874/17,766.12 = 7,285/x
  3. Step 3: Cross multiply
    12,874x = 17,766.12 × 7,285
  4. Step 4: Simplify right side
    12,874x = 129,426,184.20
  5. Step 5: Solve for x
    x = 129,426,184.20/12,874
  6. Step 6: Final answer
    x = 10,053.30

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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.