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Finding the Fourth Proportional to 18,643.28, 27,959.04 and 6,160.48

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Solution

The fourth proportional to 18,643.28, 27,959.04 and 6,160.48 is: 9,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.28 : 27,959.04 = 6,160.48 : x
  2. Step 2: Convert to fraction form
    18,643.28/27,959.04 = 6,160.48/x
  3. Step 3: Cross multiply
    18,643.28x = 27,959.04 × 6,160.48
  4. Step 4: Simplify right side
    18,643.28x = 172,241,106.74
  5. Step 5: Solve for x
    x = 172,241,106.74/18,643.28
  6. Step 6: Final answer
    x = 9,238.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.