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Finding the Fourth Proportional to 19,995.28, 29,992.88 and 8,154

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Solution

The fourth proportional to 19,995.28, 29,992.88 and 8,154 is: 12,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,995.28 : 29,992.88 = 8,154 : x
  2. Step 2: Convert to fraction form
    19,995.28/29,992.88 = 8,154/x
  3. Step 3: Cross multiply
    19,995.28x = 29,992.88 × 8,154
  4. Step 4: Simplify right side
    19,995.28x = 244,561,943.52
  5. Step 5: Solve for x
    x = 244,561,943.52/19,995.28
  6. Step 6: Final answer
    x = 12,230.98

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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.