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Finding the Fourth Proportional to 3,806.90, 5,711.27 and 1,209.86

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Solution

The fourth proportional to 3,806.90, 5,711.27 and 1,209.86 is: 1,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.90 : 5,711.27 = 1,209.86 : x
  2. Step 2: Convert to fraction form
    3,806.90/5,711.27 = 1,209.86/x
  3. Step 3: Cross multiply
    3,806.90x = 5,711.27 × 1,209.86
  4. Step 4: Simplify right side
    3,806.90x = 6,909,802.52
  5. Step 5: Solve for x
    x = 6,909,802.52/3,806.90
  6. Step 6: Final answer
    x = 1,815.08

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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.