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Finding the Fourth Proportional to 27,660, 38,173.68 and 17,049.36

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Solution

The fourth proportional to 27,660, 38,173.68 and 17,049.36 is: 23,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660 : 38,173.68 = 17,049.36 : x
  2. Step 2: Convert to fraction form
    27,660/38,173.68 = 17,049.36/x
  3. Step 3: Cross multiply
    27,660x = 38,173.68 × 17,049.36
  4. Step 4: Simplify right side
    27,660x = 650,836,812.84
  5. Step 5: Solve for x
    x = 650,836,812.84/27,660
  6. Step 6: Final answer
    x = 23,529.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.