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Finding the Fourth Proportional to 20,808, 31,215.11 and 7,659.36

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Solution

The fourth proportional to 20,808, 31,215.11 and 7,659.36 is: 11,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808 : 31,215.11 = 7,659.36 : x
  2. Step 2: Convert to fraction form
    20,808/31,215.11 = 7,659.36/x
  3. Step 3: Cross multiply
    20,808x = 31,215.11 × 7,659.36
  4. Step 4: Simplify right side
    20,808x = 239,087,726.63
  5. Step 5: Solve for x
    x = 239,087,726.63/20,808
  6. Step 6: Final answer
    x = 11,490.18

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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.