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Finding the Fourth Proportional to 18,012.02, 27,018 and 10,011.87

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Solution

The fourth proportional to 18,012.02, 27,018 and 10,011.87 is: 15,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,012.02 : 27,018 = 10,011.87 : x
  2. Step 2: Convert to fraction form
    18,012.02/27,018 = 10,011.87/x
  3. Step 3: Cross multiply
    18,012.02x = 27,018 × 10,011.87
  4. Step 4: Simplify right side
    18,012.02x = 270,500,703.66
  5. Step 5: Solve for x
    x = 270,500,703.66/18,012.02
  6. Step 6: Final answer
    x = 15,017.79

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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.