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Finding the Fourth Proportional to 21,391.36, 32,086.32 and 7,540

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Solution

The fourth proportional to 21,391.36, 32,086.32 and 7,540 is: 11,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.36 : 32,086.32 = 7,540 : x
  2. Step 2: Convert to fraction form
    21,391.36/32,086.32 = 7,540/x
  3. Step 3: Cross multiply
    21,391.36x = 32,086.32 × 7,540
  4. Step 4: Simplify right side
    21,391.36x = 241,930,852.80
  5. Step 5: Solve for x
    x = 241,930,852.80/21,391.36
  6. Step 6: Final answer
    x = 11,309.75

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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.