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Finding the Fourth Proportional to 13,190.40, 19,768.80 and 5,390.40

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Solution

The fourth proportional to 13,190.40, 19,768.80 and 5,390.40 is: 8,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.40 : 19,768.80 = 5,390.40 : x
  2. Step 2: Convert to fraction form
    13,190.40/19,768.80 = 5,390.40/x
  3. Step 3: Cross multiply
    13,190.40x = 19,768.80 × 5,390.40
  4. Step 4: Simplify right side
    13,190.40x = 106,561,739.52
  5. Step 5: Solve for x
    x = 106,561,739.52/13,190.40
  6. Step 6: Final answer
    x = 8,078.73

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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.