Home / 20,102.24-27,741-11,149.76

Finding the Fourth Proportional to 20,102.24, 27,741 and 11,149.76

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Solution

The fourth proportional to 20,102.24, 27,741 and 11,149.76 is: 15,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.24 : 27,741 = 11,149.76 : x
  2. Step 2: Convert to fraction form
    20,102.24/27,741 = 11,149.76/x
  3. Step 3: Cross multiply
    20,102.24x = 27,741 × 11,149.76
  4. Step 4: Simplify right side
    20,102.24x = 309,305,492.16
  5. Step 5: Solve for x
    x = 309,305,492.16/20,102.24
  6. Step 6: Final answer
    x = 15,386.62

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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.