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Finding the Fourth Proportional to 3,946.22, 5,919.19 and 1,605.53

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Solution

The fourth proportional to 3,946.22, 5,919.19 and 1,605.53 is: 2,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.22 : 5,919.19 = 1,605.53 : x
  2. Step 2: Convert to fraction form
    3,946.22/5,919.19 = 1,605.53/x
  3. Step 3: Cross multiply
    3,946.22x = 5,919.19 × 1,605.53
  4. Step 4: Simplify right side
    3,946.22x = 9,503,437.12
  5. Step 5: Solve for x
    x = 9,503,437.12/3,946.22
  6. Step 6: Final answer
    x = 2,408.24

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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.