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Finding the Fourth Proportional to 17,889.76, 26,814 and 13,139.20

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Solution

The fourth proportional to 17,889.76, 26,814 and 13,139.20 is: 19,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889.76 : 26,814 = 13,139.20 : x
  2. Step 2: Convert to fraction form
    17,889.76/26,814 = 13,139.20/x
  3. Step 3: Cross multiply
    17,889.76x = 26,814 × 13,139.20
  4. Step 4: Simplify right side
    17,889.76x = 352,314,508.80
  5. Step 5: Solve for x
    x = 352,314,508.80/17,889.76
  6. Step 6: Final answer
    x = 19,693.64

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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.