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Finding the Fourth Proportional to 18,053.28, 27,072 and 8,192.16

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Solution

The fourth proportional to 18,053.28, 27,072 and 8,192.16 is: 12,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,053.28 : 27,072 = 8,192.16 : x
  2. Step 2: Convert to fraction form
    18,053.28/27,072 = 8,192.16/x
  3. Step 3: Cross multiply
    18,053.28x = 27,072 × 8,192.16
  4. Step 4: Simplify right side
    18,053.28x = 221,778,155.52
  5. Step 5: Solve for x
    x = 221,778,155.52/18,053.28
  6. Step 6: Final answer
    x = 12,284.65

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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.