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Finding the Fourth Proportional to 6,960.47, 9,605.71 and 4,129.33

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Solution

The fourth proportional to 6,960.47, 9,605.71 and 4,129.33 is: 5,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.47 : 9,605.71 = 4,129.33 : x
  2. Step 2: Convert to fraction form
    6,960.47/9,605.71 = 4,129.33/x
  3. Step 3: Cross multiply
    6,960.47x = 9,605.71 × 4,129.33
  4. Step 4: Simplify right side
    6,960.47x = 39,665,157.25
  5. Step 5: Solve for x
    x = 39,665,157.25/6,960.47
  6. Step 6: Final answer
    x = 5,698.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.