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Finding the Fourth Proportional to 21,424.48, 32,202.24 and 20,965.12

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Solution

The fourth proportional to 21,424.48, 32,202.24 and 20,965.12 is: 31,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.48 : 32,202.24 = 20,965.12 : x
  2. Step 2: Convert to fraction form
    21,424.48/32,202.24 = 20,965.12/x
  3. Step 3: Cross multiply
    21,424.48x = 32,202.24 × 20,965.12
  4. Step 4: Simplify right side
    21,424.48x = 675,123,825.87
  5. Step 5: Solve for x
    x = 675,123,825.87/21,424.48
  6. Step 6: Final answer
    x = 31,511.80

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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.