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Finding the Fourth Proportional to 18,142.65, 27,218.84 and 7,606.98

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Solution

The fourth proportional to 18,142.65, 27,218.84 and 7,606.98 is: 11,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.65 : 27,218.84 = 7,606.98 : x
  2. Step 2: Convert to fraction form
    18,142.65/27,218.84 = 7,606.98/x
  3. Step 3: Cross multiply
    18,142.65x = 27,218.84 × 7,606.98
  4. Step 4: Simplify right side
    18,142.65x = 207,053,133.47
  5. Step 5: Solve for x
    x = 207,053,133.47/18,142.65
  6. Step 6: Final answer
    x = 11,412.51

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1.5x scale

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.