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Finding the Fourth Proportional to 3,806.13, 5,710.14 and 1,209.07

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Solution

The fourth proportional to 3,806.13, 5,710.14 and 1,209.07 is: 1,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.13 : 5,710.14 = 1,209.07 : x
  2. Step 2: Convert to fraction form
    3,806.13/5,710.14 = 1,209.07/x
  3. Step 3: Cross multiply
    3,806.13x = 5,710.14 × 1,209.07
  4. Step 4: Simplify right side
    3,806.13x = 6,903,958.97
  5. Step 5: Solve for x
    x = 6,903,958.97/3,806.13
  6. Step 6: Final answer
    x = 1,813.91

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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.