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Finding the Fourth Proportional to 20,810, 31,218.11 and 7,661.36

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Solution

The fourth proportional to 20,810, 31,218.11 and 7,661.36 is: 11,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810 : 31,218.11 = 7,661.36 : x
  2. Step 2: Convert to fraction form
    20,810/31,218.11 = 7,661.36/x
  3. Step 3: Cross multiply
    20,810x = 31,218.11 × 7,661.36
  4. Step 4: Simplify right side
    20,810x = 239,173,179.23
  5. Step 5: Solve for x
    x = 239,173,179.23/20,810
  6. Step 6: Final answer
    x = 11,493.18

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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.