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Finding the Fourth Proportional to 17,729.60, 26,572.80 and 13,107.20

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Solution

The fourth proportional to 17,729.60, 26,572.80 and 13,107.20 is: 19,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.60 : 26,572.80 = 13,107.20 : x
  2. Step 2: Convert to fraction form
    17,729.60/26,572.80 = 13,107.20/x
  3. Step 3: Cross multiply
    17,729.60x = 26,572.80 × 13,107.20
  4. Step 4: Simplify right side
    17,729.60x = 348,295,004.16
  5. Step 5: Solve for x
    x = 348,295,004.16/17,729.60
  6. Step 6: Final answer
    x = 19,644.83

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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.