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Finding the Fourth Proportional to 7,109.39, 9,810.98 and 3,965.78

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Solution

The fourth proportional to 7,109.39, 9,810.98 and 3,965.78 is: 5,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.39 : 9,810.98 = 3,965.78 : x
  2. Step 2: Convert to fraction form
    7,109.39/9,810.98 = 3,965.78/x
  3. Step 3: Cross multiply
    7,109.39x = 9,810.98 × 3,965.78
  4. Step 4: Simplify right side
    7,109.39x = 38,908,119.38
  5. Step 5: Solve for x
    x = 38,908,119.38/7,109.39
  6. Step 6: Final answer
    x = 5,472.78

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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.