Home / 20,813-31,222.61-7,664.36

Finding the Fourth Proportional to 20,813, 31,222.61 and 7,664.36

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Solution

The fourth proportional to 20,813, 31,222.61 and 7,664.36 is: 11,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813 : 31,222.61 = 7,664.36 : x
  2. Step 2: Convert to fraction form
    20,813/31,222.61 = 7,664.36/x
  3. Step 3: Cross multiply
    20,813x = 31,222.61 × 7,664.36
  4. Step 4: Simplify right side
    20,813x = 239,301,323.18
  5. Step 5: Solve for x
    x = 239,301,323.18/20,813
  6. Step 6: Final answer
    x = 11,497.69

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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.