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Finding the Fourth Proportional to 18,543.73, 27,807.14 and 8,008.78

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Solution

The fourth proportional to 18,543.73, 27,807.14 and 8,008.78 is: 12,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.73 : 27,807.14 = 8,008.78 : x
  2. Step 2: Convert to fraction form
    18,543.73/27,807.14 = 8,008.78/x
  3. Step 3: Cross multiply
    18,543.73x = 27,807.14 × 8,008.78
  4. Step 4: Simplify right side
    18,543.73x = 222,701,266.69
  5. Step 5: Solve for x
    x = 222,701,266.69/18,543.73
  6. Step 6: Final answer
    x = 12,009.52

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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.