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Finding the Fourth Proportional to 3,998.46, 5,997.66 and 3,075.66

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Solution

The fourth proportional to 3,998.46, 5,997.66 and 3,075.66 is: 4,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.46 : 5,997.66 = 3,075.66 : x
  2. Step 2: Convert to fraction form
    3,998.46/5,997.66 = 3,075.66/x
  3. Step 3: Cross multiply
    3,998.46x = 5,997.66 × 3,075.66
  4. Step 4: Simplify right side
    3,998.46x = 18,446,762.96
  5. Step 5: Solve for x
    x = 18,446,762.96/3,998.46
  6. Step 6: Final answer
    x = 4,613.47

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Similar ratio
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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.