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Finding the Fourth Proportional to 6,629, 9,149.94 and 4,421

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Solution

The fourth proportional to 6,629, 9,149.94 and 4,421 is: 6,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629 : 9,149.94 = 4,421 : x
  2. Step 2: Convert to fraction form
    6,629/9,149.94 = 4,421/x
  3. Step 3: Cross multiply
    6,629x = 9,149.94 × 4,421
  4. Step 4: Simplify right side
    6,629x = 40,451,884.74
  5. Step 5: Solve for x
    x = 40,451,884.74/6,629
  6. Step 6: Final answer
    x = 6,102.26

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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.