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Finding the Fourth Proportional to 20,809.92, 31,197.12 and 7,655.68

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Solution

The fourth proportional to 20,809.92, 31,197.12 and 7,655.68 is: 11,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.92 : 31,197.12 = 7,655.68 : x
  2. Step 2: Convert to fraction form
    20,809.92/31,197.12 = 7,655.68/x
  3. Step 3: Cross multiply
    20,809.92x = 31,197.12 × 7,655.68
  4. Step 4: Simplify right side
    20,809.92x = 238,835,167.64
  5. Step 5: Solve for x
    x = 238,835,167.64/20,809.92
  6. Step 6: Final answer
    x = 11,476.99

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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.