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Finding the Fourth Proportional to 3,859.60, 5,790.12 and 2,011.72

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Solution

The fourth proportional to 3,859.60, 5,790.12 and 2,011.72 is: 3,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.60 : 5,790.12 = 2,011.72 : x
  2. Step 2: Convert to fraction form
    3,859.60/5,790.12 = 2,011.72/x
  3. Step 3: Cross multiply
    3,859.60x = 5,790.12 × 2,011.72
  4. Step 4: Simplify right side
    3,859.60x = 11,648,100.21
  5. Step 5: Solve for x
    x = 11,648,100.21/3,859.60
  6. Step 6: Final answer
    x = 3,017.96

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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.