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Finding the Fourth Proportional to 17,879.76, 26,799 and 13,129.20

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Solution

The fourth proportional to 17,879.76, 26,799 and 13,129.20 is: 19,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879.76 : 26,799 = 13,129.20 : x
  2. Step 2: Convert to fraction form
    17,879.76/26,799 = 13,129.20/x
  3. Step 3: Cross multiply
    17,879.76x = 26,799 × 13,129.20
  4. Step 4: Simplify right side
    17,879.76x = 351,849,430.80
  5. Step 5: Solve for x
    x = 351,849,430.80/17,879.76
  6. Step 6: Final answer
    x = 19,678.64

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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.