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Finding the Fourth Proportional to 13,398, 20,101.24 and 6,008.80

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Solution

The fourth proportional to 13,398, 20,101.24 and 6,008.80 is: 9,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398 : 20,101.24 = 6,008.80 : x
  2. Step 2: Convert to fraction form
    13,398/20,101.24 = 6,008.80/x
  3. Step 3: Cross multiply
    13,398x = 20,101.24 × 6,008.80
  4. Step 4: Simplify right side
    13,398x = 120,784,330.91
  5. Step 5: Solve for x
    x = 120,784,330.91/13,398
  6. Step 6: Final answer
    x = 9,015.10

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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.