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Finding the Fourth Proportional to 12,018.78, 18,016.01 and 5,769.66

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Solution

The fourth proportional to 12,018.78, 18,016.01 and 5,769.66 is: 8,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.78 : 18,016.01 = 5,769.66 : x
  2. Step 2: Convert to fraction form
    12,018.78/18,016.01 = 5,769.66/x
  3. Step 3: Cross multiply
    12,018.78x = 18,016.01 × 5,769.66
  4. Step 4: Simplify right side
    12,018.78x = 103,946,252.26
  5. Step 5: Solve for x
    x = 103,946,252.26/12,018.78
  6. Step 6: Final answer
    x = 8,648.65

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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.