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Finding the Fourth Proportional to 21,459.28, 32,196 and 8,311.72

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Solution

The fourth proportional to 21,459.28, 32,196 and 8,311.72 is: 12,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.28 : 32,196 = 8,311.72 : x
  2. Step 2: Convert to fraction form
    21,459.28/32,196 = 8,311.72/x
  3. Step 3: Cross multiply
    21,459.28x = 32,196 × 8,311.72
  4. Step 4: Simplify right side
    21,459.28x = 267,604,137.12
  5. Step 5: Solve for x
    x = 267,604,137.12/21,459.28
  6. Step 6: Final answer
    x = 12,470.32

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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.