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Finding the Fourth Proportional to 36,400.20, 50,230.14 and 20,484

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Solution

The fourth proportional to 36,400.20, 50,230.14 and 20,484 is: 28,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400.20 : 50,230.14 = 20,484 : x
  2. Step 2: Convert to fraction form
    36,400.20/50,230.14 = 20,484/x
  3. Step 3: Cross multiply
    36,400.20x = 50,230.14 × 20,484
  4. Step 4: Simplify right side
    36,400.20x = 1,028,914,187.76
  5. Step 5: Solve for x
    x = 1,028,914,187.76/36,400.20
  6. Step 6: Final answer
    x = 28,266.72

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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.