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Finding the Fourth Proportional to 20,498.24, 30,740.86 and 6,644

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Solution

The fourth proportional to 20,498.24, 30,740.86 and 6,644 is: 9,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.24 : 30,740.86 = 6,644 : x
  2. Step 2: Convert to fraction form
    20,498.24/30,740.86 = 6,644/x
  3. Step 3: Cross multiply
    20,498.24x = 30,740.86 × 6,644
  4. Step 4: Simplify right side
    20,498.24x = 204,242,273.84
  5. Step 5: Solve for x
    x = 204,242,273.84/20,498.24
  6. Step 6: Final answer
    x = 9,963.89

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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.