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Finding the Fourth Proportional to 13,488.78, 20,223.94 and 6,089.20

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Solution

The fourth proportional to 13,488.78, 20,223.94 and 6,089.20 is: 9,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.78 : 20,223.94 = 6,089.20 : x
  2. Step 2: Convert to fraction form
    13,488.78/20,223.94 = 6,089.20/x
  3. Step 3: Cross multiply
    13,488.78x = 20,223.94 × 6,089.20
  4. Step 4: Simplify right side
    13,488.78x = 123,147,626.53
  5. Step 5: Solve for x
    x = 123,147,626.53/13,488.78
  6. Step 6: Final answer
    x = 9,129.64

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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.