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Finding the Fourth Proportional to 12,144.29, 18,221.03 and 4,754.03

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Solution

The fourth proportional to 12,144.29, 18,221.03 and 4,754.03 is: 7,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.29 : 18,221.03 = 4,754.03 : x
  2. Step 2: Convert to fraction form
    12,144.29/18,221.03 = 4,754.03/x
  3. Step 3: Cross multiply
    12,144.29x = 18,221.03 × 4,754.03
  4. Step 4: Simplify right side
    12,144.29x = 86,623,323.25
  5. Step 5: Solve for x
    x = 86,623,323.25/12,144.29
  6. Step 6: Final answer
    x = 7,132.84

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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.