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Finding the Fourth Proportional to 21,522, 32,284.22 and 7,671

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Solution

The fourth proportional to 21,522, 32,284.22 and 7,671 is: 11,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522 : 32,284.22 = 7,671 : x
  2. Step 2: Convert to fraction form
    21,522/32,284.22 = 7,671/x
  3. Step 3: Cross multiply
    21,522x = 32,284.22 × 7,671
  4. Step 4: Simplify right side
    21,522x = 247,652,251.62
  5. Step 5: Solve for x
    x = 247,652,251.62/21,522
  6. Step 6: Final answer
    x = 11,506.93

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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.