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Finding the Fourth Proportional to 3,768.90, 5,646.05 and 1,822.47

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Solution

The fourth proportional to 3,768.90, 5,646.05 and 1,822.47 is: 2,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.90 : 5,646.05 = 1,822.47 : x
  2. Step 2: Convert to fraction form
    3,768.90/5,646.05 = 1,822.47/x
  3. Step 3: Cross multiply
    3,768.90x = 5,646.05 × 1,822.47
  4. Step 4: Simplify right side
    3,768.90x = 10,289,747.63
  5. Step 5: Solve for x
    x = 10,289,747.63/3,768.90
  6. Step 6: Final answer
    x = 2,730.17

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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.