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Finding the Fourth Proportional to 3,785.93, 5,678.88 and 1,838.42

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Solution

The fourth proportional to 3,785.93, 5,678.88 and 1,838.42 is: 2,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.93 : 5,678.88 = 1,838.42 : x
  2. Step 2: Convert to fraction form
    3,785.93/5,678.88 = 1,838.42/x
  3. Step 3: Cross multiply
    3,785.93x = 5,678.88 × 1,838.42
  4. Step 4: Simplify right side
    3,785.93x = 10,440,138.18
  5. Step 5: Solve for x
    x = 10,440,138.18/3,785.93
  6. Step 6: Final answer
    x = 2,757.62

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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.