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Finding the Fourth Proportional to 3,909.69, 5,402.13 and 3,769.56

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Solution

The fourth proportional to 3,909.69, 5,402.13 and 3,769.56 is: 5,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.69 : 5,402.13 = 3,769.56 : x
  2. Step 2: Convert to fraction form
    3,909.69/5,402.13 = 3,769.56/x
  3. Step 3: Cross multiply
    3,909.69x = 5,402.13 × 3,769.56
  4. Step 4: Simplify right side
    3,909.69x = 20,363,653.16
  5. Step 5: Solve for x
    x = 20,363,653.16/3,909.69
  6. Step 6: Final answer
    x = 5,208.51

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1.5x scale

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.