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Finding the Fourth Proportional to 3,616.15, 5,424.22 and 3,431.47

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Solution

The fourth proportional to 3,616.15, 5,424.22 and 3,431.47 is: 5,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.15 : 5,424.22 = 3,431.47 : x
  2. Step 2: Convert to fraction form
    3,616.15/5,424.22 = 3,431.47/x
  3. Step 3: Cross multiply
    3,616.15x = 5,424.22 × 3,431.47
  4. Step 4: Simplify right side
    3,616.15x = 18,613,012.50
  5. Step 5: Solve for x
    x = 18,613,012.50/3,616.15
  6. Step 6: Final answer
    x = 5,147.20

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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.