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Finding the Fourth Proportional to 3,767.90, 5,647.74 and 3,218.42

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Solution

The fourth proportional to 3,767.90, 5,647.74 and 3,218.42 is: 4,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.90 : 5,647.74 = 3,218.42 : x
  2. Step 2: Convert to fraction form
    3,767.90/5,647.74 = 3,218.42/x
  3. Step 3: Cross multiply
    3,767.90x = 5,647.74 × 3,218.42
  4. Step 4: Simplify right side
    3,767.90x = 18,176,771.13
  5. Step 5: Solve for x
    x = 18,176,771.13/3,767.90
  6. Step 6: Final answer
    x = 4,824.12

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1.5x scale

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.