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Finding the Fourth Proportional to 21,921, 32,901 and 10,240.80

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Solution

The fourth proportional to 21,921, 32,901 and 10,240.80 is: 15,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921 : 32,901 = 10,240.80 : x
  2. Step 2: Convert to fraction form
    21,921/32,901 = 10,240.80/x
  3. Step 3: Cross multiply
    21,921x = 32,901 × 10,240.80
  4. Step 4: Simplify right side
    21,921x = 336,932,560.80
  5. Step 5: Solve for x
    x = 336,932,560.80/21,921
  6. Step 6: Final answer
    x = 15,370.31

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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.