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Finding the Fourth Proportional to 21,692.48, 32,541.14 and 8,543.12

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Solution

The fourth proportional to 21,692.48, 32,541.14 and 8,543.12 is: 12,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.48 : 32,541.14 = 8,543.12 : x
  2. Step 2: Convert to fraction form
    21,692.48/32,541.14 = 8,543.12/x
  3. Step 3: Cross multiply
    21,692.48x = 32,541.14 × 8,543.12
  4. Step 4: Simplify right side
    21,692.48x = 278,002,863.96
  5. Step 5: Solve for x
    x = 278,002,863.96/21,692.48
  6. Step 6: Final answer
    x = 12,815.63

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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.