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Finding the Fourth Proportional to 11,809.71, 17,717.31 and 4,018.50

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Solution

The fourth proportional to 11,809.71, 17,717.31 and 4,018.50 is: 6,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.71 : 17,717.31 = 4,018.50 : x
  2. Step 2: Convert to fraction form
    11,809.71/17,717.31 = 4,018.50/x
  3. Step 3: Cross multiply
    11,809.71x = 17,717.31 × 4,018.50
  4. Step 4: Simplify right side
    11,809.71x = 71,197,010.24
  5. Step 5: Solve for x
    x = 71,197,010.24/11,809.71
  6. Step 6: Final answer
    x = 6,028.68

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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.