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Finding the Fourth Proportional to 3,859.85, 5,788.82 and 1,487.46

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Solution

The fourth proportional to 3,859.85, 5,788.82 and 1,487.46 is: 2,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.85 : 5,788.82 = 1,487.46 : x
  2. Step 2: Convert to fraction form
    3,859.85/5,788.82 = 1,487.46/x
  3. Step 3: Cross multiply
    3,859.85x = 5,788.82 × 1,487.46
  4. Step 4: Simplify right side
    3,859.85x = 8,610,606.41
  5. Step 5: Solve for x
    x = 8,610,606.41/3,859.85
  6. Step 6: Final answer
    x = 2,230.81

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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.