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Finding the Fourth Proportional to 7,106.21, 9,806.65 and 3,919.65

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Solution

The fourth proportional to 7,106.21, 9,806.65 and 3,919.65 is: 5,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.21 : 9,806.65 = 3,919.65 : x
  2. Step 2: Convert to fraction form
    7,106.21/9,806.65 = 3,919.65/x
  3. Step 3: Cross multiply
    7,106.21x = 9,806.65 × 3,919.65
  4. Step 4: Simplify right side
    7,106.21x = 38,438,589.10
  5. Step 5: Solve for x
    x = 38,438,589.10/7,106.21
  6. Step 6: Final answer
    x = 5,409.15

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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.