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Finding the Fourth Proportional to 13,606, 20,417.64 and 5,398

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Solution

The fourth proportional to 13,606, 20,417.64 and 5,398 is: 8,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606 : 20,417.64 = 5,398 : x
  2. Step 2: Convert to fraction form
    13,606/20,417.64 = 5,398/x
  3. Step 3: Cross multiply
    13,606x = 20,417.64 × 5,398
  4. Step 4: Simplify right side
    13,606x = 110,214,420.72
  5. Step 5: Solve for x
    x = 110,214,420.72/13,606
  6. Step 6: Final answer
    x = 8,100.43

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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.