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Finding the Fourth Proportional to 18,131.28, 27,182.16 and 7,032.24

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Solution

The fourth proportional to 18,131.28, 27,182.16 and 7,032.24 is: 10,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.28 : 27,182.16 = 7,032.24 : x
  2. Step 2: Convert to fraction form
    18,131.28/27,182.16 = 7,032.24/x
  3. Step 3: Cross multiply
    18,131.28x = 27,182.16 × 7,032.24
  4. Step 4: Simplify right side
    18,131.28x = 191,151,472.84
  5. Step 5: Solve for x
    x = 191,151,472.84/18,131.28
  6. Step 6: Final answer
    x = 10,542.64

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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.