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Finding the Fourth Proportional to 21,332.50, 32,013.33 and 7,481.50

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Solution

The fourth proportional to 21,332.50, 32,013.33 and 7,481.50 is: 11,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.50 : 32,013.33 = 7,481.50 : x
  2. Step 2: Convert to fraction form
    21,332.50/32,013.33 = 7,481.50/x
  3. Step 3: Cross multiply
    21,332.50x = 32,013.33 × 7,481.50
  4. Step 4: Simplify right side
    21,332.50x = 239,507,728.40
  5. Step 5: Solve for x
    x = 239,507,728.40/21,332.50
  6. Step 6: Final answer
    x = 11,227.36

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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.