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Finding the Fourth Proportional to 20,806.65, 28,713.39 and 11,854.11

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Solution

The fourth proportional to 20,806.65, 28,713.39 and 11,854.11 is: 16,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.65 : 28,713.39 = 11,854.11 : x
  2. Step 2: Convert to fraction form
    20,806.65/28,713.39 = 11,854.11/x
  3. Step 3: Cross multiply
    20,806.65x = 28,713.39 × 11,854.11
  4. Step 4: Simplify right side
    20,806.65x = 340,371,683.53
  5. Step 5: Solve for x
    x = 340,371,683.53/20,806.65
  6. Step 6: Final answer
    x = 16,358.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.