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Finding the Fourth Proportional to 2,785.44, 3,833.68 and 2,388

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Solution

The fourth proportional to 2,785.44, 3,833.68 and 2,388 is: 3,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.44 : 3,833.68 = 2,388 : x
  2. Step 2: Convert to fraction form
    2,785.44/3,833.68 = 2,388/x
  3. Step 3: Cross multiply
    2,785.44x = 3,833.68 × 2,388
  4. Step 4: Simplify right side
    2,785.44x = 9,154,827.84
  5. Step 5: Solve for x
    x = 9,154,827.84/2,785.44
  6. Step 6: Final answer
    x = 3,286.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.