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Finding the Fourth Proportional to 13,230.78, 19,846.17 and 5,440.20

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Solution

The fourth proportional to 13,230.78, 19,846.17 and 5,440.20 is: 8,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.78 : 19,846.17 = 5,440.20 : x
  2. Step 2: Convert to fraction form
    13,230.78/19,846.17 = 5,440.20/x
  3. Step 3: Cross multiply
    13,230.78x = 19,846.17 × 5,440.20
  4. Step 4: Simplify right side
    13,230.78x = 107,967,134.03
  5. Step 5: Solve for x
    x = 107,967,134.03/13,230.78
  6. Step 6: Final answer
    x = 8,160.30

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Similar ratio
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1.5x scale

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.