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Finding the Fourth Proportional to 3,857.89, 5,787.10 and 1,909.57

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Solution

The fourth proportional to 3,857.89, 5,787.10 and 1,909.57 is: 2,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.89 : 5,787.10 = 1,909.57 : x
  2. Step 2: Convert to fraction form
    3,857.89/5,787.10 = 1,909.57/x
  3. Step 3: Cross multiply
    3,857.89x = 5,787.10 × 1,909.57
  4. Step 4: Simplify right side
    3,857.89x = 11,050,834.06
  5. Step 5: Solve for x
    x = 11,050,834.06/3,857.89
  6. Step 6: Final answer
    x = 2,864.48

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1.5x scale

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.