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Finding the Fourth Proportional to 11,833.71, 17,762.85 and 8,717.22

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Solution

The fourth proportional to 11,833.71, 17,762.85 and 8,717.22 is: 13,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.71 : 17,762.85 = 8,717.22 : x
  2. Step 2: Convert to fraction form
    11,833.71/17,762.85 = 8,717.22/x
  3. Step 3: Cross multiply
    11,833.71x = 17,762.85 × 8,717.22
  4. Step 4: Simplify right side
    11,833.71x = 154,842,671.28
  5. Step 5: Solve for x
    x = 154,842,671.28/11,833.71
  6. Step 6: Final answer
    x = 13,084.88

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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.