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Finding the Fourth Proportional to 11,711.70, 17,565.72 and 3,920.58

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Solution

The fourth proportional to 11,711.70, 17,565.72 and 3,920.58 is: 5,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.70 : 17,565.72 = 3,920.58 : x
  2. Step 2: Convert to fraction form
    11,711.70/17,565.72 = 3,920.58/x
  3. Step 3: Cross multiply
    11,711.70x = 17,565.72 × 3,920.58
  4. Step 4: Simplify right side
    11,711.70x = 68,867,810.52
  5. Step 5: Solve for x
    x = 68,867,810.52/11,711.70
  6. Step 6: Final answer
    x = 5,880.26

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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.