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Finding the Fourth Proportional to 20,894.93, 31,322.41 and 7,743.77

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Solution

The fourth proportional to 20,894.93, 31,322.41 and 7,743.77 is: 11,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.93 : 31,322.41 = 7,743.77 : x
  2. Step 2: Convert to fraction form
    20,894.93/31,322.41 = 7,743.77/x
  3. Step 3: Cross multiply
    20,894.93x = 31,322.41 × 7,743.77
  4. Step 4: Simplify right side
    20,894.93x = 242,553,538.89
  5. Step 5: Solve for x
    x = 242,553,538.89/20,894.93
  6. Step 6: Final answer
    x = 11,608.25

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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.