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Finding the Fourth Proportional to 3,806.86, 5,711.01 and 1,341.40

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Solution

The fourth proportional to 3,806.86, 5,711.01 and 1,341.40 is: 2,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.86 : 5,711.01 = 1,341.40 : x
  2. Step 2: Convert to fraction form
    3,806.86/5,711.01 = 1,341.40/x
  3. Step 3: Cross multiply
    3,806.86x = 5,711.01 × 1,341.40
  4. Step 4: Simplify right side
    3,806.86x = 7,660,748.81
  5. Step 5: Solve for x
    x = 7,660,748.81/3,806.86
  6. Step 6: Final answer
    x = 2,012.35

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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.