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Finding the Fourth Proportional to 3,868.42, 5,803.17 and 1,270.84

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Solution

The fourth proportional to 3,868.42, 5,803.17 and 1,270.84 is: 1,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.42 : 5,803.17 = 1,270.84 : x
  2. Step 2: Convert to fraction form
    3,868.42/5,803.17 = 1,270.84/x
  3. Step 3: Cross multiply
    3,868.42x = 5,803.17 × 1,270.84
  4. Step 4: Simplify right side
    3,868.42x = 7,374,900.56
  5. Step 5: Solve for x
    x = 7,374,900.56/3,868.42
  6. Step 6: Final answer
    x = 1,906.44

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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.