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Finding the Fourth Proportional to 3,697.74, 5,522.25 and 3,289.50

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Solution

The fourth proportional to 3,697.74, 5,522.25 and 3,289.50 is: 4,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.74 : 5,522.25 = 3,289.50 : x
  2. Step 2: Convert to fraction form
    3,697.74/5,522.25 = 3,289.50/x
  3. Step 3: Cross multiply
    3,697.74x = 5,522.25 × 3,289.50
  4. Step 4: Simplify right side
    3,697.74x = 18,165,441.38
  5. Step 5: Solve for x
    x = 18,165,441.38/3,697.74
  6. Step 6: Final answer
    x = 4,912.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.