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Finding the Fourth Proportional to 20,894.88, 31,351.42 and 7,743.72

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Solution

The fourth proportional to 20,894.88, 31,351.42 and 7,743.72 is: 11,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.88 : 31,351.42 = 7,743.72 : x
  2. Step 2: Convert to fraction form
    20,894.88/31,351.42 = 7,743.72/x
  3. Step 3: Cross multiply
    20,894.88x = 31,351.42 × 7,743.72
  4. Step 4: Simplify right side
    20,894.88x = 242,776,618.08
  5. Step 5: Solve for x
    x = 242,776,618.08/20,894.88
  6. Step 6: Final answer
    x = 11,618.95

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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.