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Finding the Fourth Proportional to 21,720.29, 32,583.11 and 7,677.42

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Solution

The fourth proportional to 21,720.29, 32,583.11 and 7,677.42 is: 11,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720.29 : 32,583.11 = 7,677.42 : x
  2. Step 2: Convert to fraction form
    21,720.29/32,583.11 = 7,677.42/x
  3. Step 3: Cross multiply
    21,720.29x = 32,583.11 × 7,677.42
  4. Step 4: Simplify right side
    21,720.29x = 250,154,102.99
  5. Step 5: Solve for x
    x = 250,154,102.99/21,720.29
  6. Step 6: Final answer
    x = 11,517.07

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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.