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Finding the Fourth Proportional to 3,858.49, 5,784.49 and 2,622.43

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Solution

The fourth proportional to 3,858.49, 5,784.49 and 2,622.43 is: 3,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.49 : 5,784.49 = 2,622.43 : x
  2. Step 2: Convert to fraction form
    3,858.49/5,784.49 = 2,622.43/x
  3. Step 3: Cross multiply
    3,858.49x = 5,784.49 × 2,622.43
  4. Step 4: Simplify right side
    3,858.49x = 15,169,420.11
  5. Step 5: Solve for x
    x = 15,169,420.11/3,858.49
  6. Step 6: Final answer
    x = 3,931.44

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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.