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Finding the Fourth Proportional to 12,414.78, 17,133.24 and 6,825.78

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Solution

The fourth proportional to 12,414.78, 17,133.24 and 6,825.78 is: 9,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.78 : 17,133.24 = 6,825.78 : x
  2. Step 2: Convert to fraction form
    12,414.78/17,133.24 = 6,825.78/x
  3. Step 3: Cross multiply
    12,414.78x = 17,133.24 × 6,825.78
  4. Step 4: Simplify right side
    12,414.78x = 116,947,726.93
  5. Step 5: Solve for x
    x = 116,947,726.93/12,414.78
  6. Step 6: Final answer
    x = 9,420.04

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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.