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Finding the Fourth Proportional to 18,242.64, 27,362.97 and 7,151.31

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Solution

The fourth proportional to 18,242.64, 27,362.97 and 7,151.31 is: 10,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242.64 : 27,362.97 = 7,151.31 : x
  2. Step 2: Convert to fraction form
    18,242.64/27,362.97 = 7,151.31/x
  3. Step 3: Cross multiply
    18,242.64x = 27,362.97 × 7,151.31
  4. Step 4: Simplify right side
    18,242.64x = 195,681,080.99
  5. Step 5: Solve for x
    x = 195,681,080.99/18,242.64
  6. Step 6: Final answer
    x = 10,726.58

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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.