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Finding the Fourth Proportional to 20,793.92, 31,187.63 and 7,643.16

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Solution

The fourth proportional to 20,793.92, 31,187.63 and 7,643.16 is: 11,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.92 : 31,187.63 = 7,643.16 : x
  2. Step 2: Convert to fraction form
    20,793.92/31,187.63 = 7,643.16/x
  3. Step 3: Cross multiply
    20,793.92x = 31,187.63 × 7,643.16
  4. Step 4: Simplify right side
    20,793.92x = 238,372,065.22
  5. Step 5: Solve for x
    x = 238,372,065.22/20,793.92
  6. Step 6: Final answer
    x = 11,463.55

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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.