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Finding the Fourth Proportional to 5,622.48, 7,758 and 3,949

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Solution

The fourth proportional to 5,622.48, 7,758 and 3,949 is: 5,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.48 : 7,758 = 3,949 : x
  2. Step 2: Convert to fraction form
    5,622.48/7,758 = 3,949/x
  3. Step 3: Cross multiply
    5,622.48x = 7,758 × 3,949
  4. Step 4: Simplify right side
    5,622.48x = 30,636,342
  5. Step 5: Solve for x
    x = 30,636,342/5,622.48
  6. Step 6: Final answer
    x = 5,448.90

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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.