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Finding the Fourth Proportional to 2,469.38, 3,701.87 and 909.01

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Solution

The fourth proportional to 2,469.38, 3,701.87 and 909.01 is: 1,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.38 : 3,701.87 = 909.01 : x
  2. Step 2: Convert to fraction form
    2,469.38/3,701.87 = 909.01/x
  3. Step 3: Cross multiply
    2,469.38x = 3,701.87 × 909.01
  4. Step 4: Simplify right side
    2,469.38x = 3,365,035.13
  5. Step 5: Solve for x
    x = 3,365,035.13/2,469.38
  6. Step 6: Final answer
    x = 1,362.71

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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.