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Finding the Fourth Proportional to 21,324.25, 31,986.38 and 7,473.25

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Solution

The fourth proportional to 21,324.25, 31,986.38 and 7,473.25 is: 11,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.25 : 31,986.38 = 7,473.25 : x
  2. Step 2: Convert to fraction form
    21,324.25/31,986.38 = 7,473.25/x
  3. Step 3: Cross multiply
    21,324.25x = 31,986.38 × 7,473.25
  4. Step 4: Simplify right side
    21,324.25x = 239,042,214.34
  5. Step 5: Solve for x
    x = 239,042,214.34/21,324.25
  6. Step 6: Final answer
    x = 11,209.88

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1.5x scale

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.