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Finding the Fourth Proportional to 7,199.81, 9,935.91 and 3,969.72

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Solution

The fourth proportional to 7,199.81, 9,935.91 and 3,969.72 is: 5,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.81 : 9,935.91 = 3,969.72 : x
  2. Step 2: Convert to fraction form
    7,199.81/9,935.91 = 3,969.72/x
  3. Step 3: Cross multiply
    7,199.81x = 9,935.91 × 3,969.72
  4. Step 4: Simplify right side
    7,199.81x = 39,442,780.65
  5. Step 5: Solve for x
    x = 39,442,780.65/7,199.81
  6. Step 6: Final answer
    x = 5,478.31

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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.