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Finding the Fourth Proportional to 13,806.78, 20,710.16 and 3,418.53

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Solution

The fourth proportional to 13,806.78, 20,710.16 and 3,418.53 is: 5,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.78 : 20,710.16 = 3,418.53 : x
  2. Step 2: Convert to fraction form
    13,806.78/20,710.16 = 3,418.53/x
  3. Step 3: Cross multiply
    13,806.78x = 20,710.16 × 3,418.53
  4. Step 4: Simplify right side
    13,806.78x = 70,798,286.17
  5. Step 5: Solve for x
    x = 70,798,286.17/13,806.78
  6. Step 6: Final answer
    x = 5,127.79

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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.