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Finding the Fourth Proportional to 7,050, 9,729 and 3,906.66

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Solution

The fourth proportional to 7,050, 9,729 and 3,906.66 is: 5,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050 : 9,729 = 3,906.66 : x
  2. Step 2: Convert to fraction form
    7,050/9,729 = 3,906.66/x
  3. Step 3: Cross multiply
    7,050x = 9,729 × 3,906.66
  4. Step 4: Simplify right side
    7,050x = 38,007,895.14
  5. Step 5: Solve for x
    x = 38,007,895.14/7,050
  6. Step 6: Final answer
    x = 5,391.19

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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.