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Finding the Fourth Proportional to 3,838.81, 5,757.81 and 2,377.57

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Solution

The fourth proportional to 3,838.81, 5,757.81 and 2,377.57 is: 3,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.81 : 5,757.81 = 2,377.57 : x
  2. Step 2: Convert to fraction form
    3,838.81/5,757.81 = 2,377.57/x
  3. Step 3: Cross multiply
    3,838.81x = 5,757.81 × 2,377.57
  4. Step 4: Simplify right side
    3,838.81x = 13,689,596.32
  5. Step 5: Solve for x
    x = 13,689,596.32/3,838.81
  6. Step 6: Final answer
    x = 3,566.10

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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.