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Finding the Fourth Proportional to 20,401.96, 28,155.78 and 11,449

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Solution

The fourth proportional to 20,401.96, 28,155.78 and 11,449 is: 15,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,401.96 : 28,155.78 = 11,449 : x
  2. Step 2: Convert to fraction form
    20,401.96/28,155.78 = 11,449/x
  3. Step 3: Cross multiply
    20,401.96x = 28,155.78 × 11,449
  4. Step 4: Simplify right side
    20,401.96x = 322,355,525.22
  5. Step 5: Solve for x
    x = 322,355,525.22/20,401.96
  6. Step 6: Final answer
    x = 15,800.22

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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.