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Finding the Fourth Proportional to 3,833.72, 5,750.60 and 2,101.40

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Solution

The fourth proportional to 3,833.72, 5,750.60 and 2,101.40 is: 3,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.72 : 5,750.60 = 2,101.40 : x
  2. Step 2: Convert to fraction form
    3,833.72/5,750.60 = 2,101.40/x
  3. Step 3: Cross multiply
    3,833.72x = 5,750.60 × 2,101.40
  4. Step 4: Simplify right side
    3,833.72x = 12,084,310.84
  5. Step 5: Solve for x
    x = 12,084,310.84/3,833.72
  6. Step 6: Final answer
    x = 3,152.11

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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.