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Finding the Fourth Proportional to 3,871.90, 5,806.08 and 1,238.89

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Solution

The fourth proportional to 3,871.90, 5,806.08 and 1,238.89 is: 1,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.90 : 5,806.08 = 1,238.89 : x
  2. Step 2: Convert to fraction form
    3,871.90/5,806.08 = 1,238.89/x
  3. Step 3: Cross multiply
    3,871.90x = 5,806.08 × 1,238.89
  4. Step 4: Simplify right side
    3,871.90x = 7,193,094.45
  5. Step 5: Solve for x
    x = 7,193,094.45/3,871.90
  6. Step 6: Final answer
    x = 1,857.77

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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.