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Finding the Fourth Proportional to 3,846.42, 5,769.30 and 1,381.08

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Solution

The fourth proportional to 3,846.42, 5,769.30 and 1,381.08 is: 2,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.42 : 5,769.30 = 1,381.08 : x
  2. Step 2: Convert to fraction form
    3,846.42/5,769.30 = 1,381.08/x
  3. Step 3: Cross multiply
    3,846.42x = 5,769.30 × 1,381.08
  4. Step 4: Simplify right side
    3,846.42x = 7,967,864.84
  5. Step 5: Solve for x
    x = 7,967,864.84/3,846.42
  6. Step 6: Final answer
    x = 2,071.50

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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.