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Finding the Fourth Proportional to 3,813.40, 5,721.45 and 3,678.40

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Solution

The fourth proportional to 3,813.40, 5,721.45 and 3,678.40 is: 5,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.40 : 5,721.45 = 3,678.40 : x
  2. Step 2: Convert to fraction form
    3,813.40/5,721.45 = 3,678.40/x
  3. Step 3: Cross multiply
    3,813.40x = 5,721.45 × 3,678.40
  4. Step 4: Simplify right side
    3,813.40x = 21,045,781.68
  5. Step 5: Solve for x
    x = 21,045,781.68/3,813.40
  6. Step 6: Final answer
    x = 5,518.90

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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.