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Finding the Fourth Proportional to 11,711.58, 17,564.75 and 3,389.75

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Solution

The fourth proportional to 11,711.58, 17,564.75 and 3,389.75 is: 5,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.58 : 17,564.75 = 3,389.75 : x
  2. Step 2: Convert to fraction form
    11,711.58/17,564.75 = 3,389.75/x
  3. Step 3: Cross multiply
    11,711.58x = 17,564.75 × 3,389.75
  4. Step 4: Simplify right side
    11,711.58x = 59,540,006.54
  5. Step 5: Solve for x
    x = 59,540,006.54/11,711.58
  6. Step 6: Final answer
    x = 5,083.86

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1.5x scale

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.