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Finding the Fourth Proportional to 21,371.68, 32,064 and 10,990.72

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Solution

The fourth proportional to 21,371.68, 32,064 and 10,990.72 is: 16,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,371.68 : 32,064 = 10,990.72 : x
  2. Step 2: Convert to fraction form
    21,371.68/32,064 = 10,990.72/x
  3. Step 3: Cross multiply
    21,371.68x = 32,064 × 10,990.72
  4. Step 4: Simplify right side
    21,371.68x = 352,406,446.08
  5. Step 5: Solve for x
    x = 352,406,446.08/21,371.68
  6. Step 6: Final answer
    x = 16,489.41

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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.