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Finding the Fourth Proportional to 21,436.72, 32,158.88 and 8,288

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Solution

The fourth proportional to 21,436.72, 32,158.88 and 8,288 is: 12,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,436.72 : 32,158.88 = 8,288 : x
  2. Step 2: Convert to fraction form
    21,436.72/32,158.88 = 8,288/x
  3. Step 3: Cross multiply
    21,436.72x = 32,158.88 × 8,288
  4. Step 4: Simplify right side
    21,436.72x = 266,532,797.44
  5. Step 5: Solve for x
    x = 266,532,797.44/21,436.72
  6. Step 6: Final answer
    x = 12,433.47

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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.