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Finding the Fourth Proportional to 3,806.86, 5,709.72 and 1,341.11

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Solution

The fourth proportional to 3,806.86, 5,709.72 and 1,341.11 is: 2,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.86 : 5,709.72 = 1,341.11 : x
  2. Step 2: Convert to fraction form
    3,806.86/5,709.72 = 1,341.11/x
  3. Step 3: Cross multiply
    3,806.86x = 5,709.72 × 1,341.11
  4. Step 4: Simplify right side
    3,806.86x = 7,657,329.01
  5. Step 5: Solve for x
    x = 7,657,329.01/3,806.86
  6. Step 6: Final answer
    x = 2,011.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.