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Finding the Fourth Proportional to 21,243.69, 31,866.14 and 7,203.75

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Solution

The fourth proportional to 21,243.69, 31,866.14 and 7,203.75 is: 10,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.69 : 31,866.14 = 7,203.75 : x
  2. Step 2: Convert to fraction form
    21,243.69/31,866.14 = 7,203.75/x
  3. Step 3: Cross multiply
    21,243.69x = 31,866.14 × 7,203.75
  4. Step 4: Simplify right side
    21,243.69x = 229,555,670.01
  5. Step 5: Solve for x
    x = 229,555,670.01/21,243.69
  6. Step 6: Final answer
    x = 10,805.83

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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.