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Finding the Fourth Proportional to 20,809, 31,216.61 and 7,660.36

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Solution

The fourth proportional to 20,809, 31,216.61 and 7,660.36 is: 11,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809 : 31,216.61 = 7,660.36 : x
  2. Step 2: Convert to fraction form
    20,809/31,216.61 = 7,660.36/x
  3. Step 3: Cross multiply
    20,809x = 31,216.61 × 7,660.36
  4. Step 4: Simplify right side
    20,809x = 239,130,470.58
  5. Step 5: Solve for x
    x = 239,130,470.58/20,809
  6. Step 6: Final answer
    x = 11,491.68

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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.