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Finding the Fourth Proportional to 3,784.75, 5,678.57 and 1,476.43

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Solution

The fourth proportional to 3,784.75, 5,678.57 and 1,476.43 is: 2,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.75 : 5,678.57 = 1,476.43 : x
  2. Step 2: Convert to fraction form
    3,784.75/5,678.57 = 1,476.43/x
  3. Step 3: Cross multiply
    3,784.75x = 5,678.57 × 1,476.43
  4. Step 4: Simplify right side
    3,784.75x = 8,384,011.11
  5. Step 5: Solve for x
    x = 8,384,011.11/3,784.75
  6. Step 6: Final answer
    x = 2,215.21

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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.