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Finding the Fourth Proportional to 7,109.46, 9,811.14 and 3,965.65

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Solution

The fourth proportional to 7,109.46, 9,811.14 and 3,965.65 is: 5,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.46 : 9,811.14 = 3,965.65 : x
  2. Step 2: Convert to fraction form
    7,109.46/9,811.14 = 3,965.65/x
  3. Step 3: Cross multiply
    7,109.46x = 9,811.14 × 3,965.65
  4. Step 4: Simplify right side
    7,109.46x = 38,907,498.29
  5. Step 5: Solve for x
    x = 38,907,498.29/7,109.46
  6. Step 6: Final answer
    x = 5,472.64

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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.