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Finding the Fourth Proportional to 3,806.01, 5,707.79 and 1,208.34

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Solution

The fourth proportional to 3,806.01, 5,707.79 and 1,208.34 is: 1,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.01 : 5,707.79 = 1,208.34 : x
  2. Step 2: Convert to fraction form
    3,806.01/5,707.79 = 1,208.34/x
  3. Step 3: Cross multiply
    3,806.01x = 5,707.79 × 1,208.34
  4. Step 4: Simplify right side
    3,806.01x = 6,896,925.45
  5. Step 5: Solve for x
    x = 6,896,925.45/3,806.01
  6. Step 6: Final answer
    x = 1,812.12

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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.