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Finding the Fourth Proportional to 28,930.28, 43,396.14 and 8,153

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Solution

The fourth proportional to 28,930.28, 43,396.14 and 8,153 is: 12,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,930.28 : 43,396.14 = 8,153 : x
  2. Step 2: Convert to fraction form
    28,930.28/43,396.14 = 8,153/x
  3. Step 3: Cross multiply
    28,930.28x = 43,396.14 × 8,153
  4. Step 4: Simplify right side
    28,930.28x = 353,808,729.42
  5. Step 5: Solve for x
    x = 353,808,729.42/28,930.28
  6. Step 6: Final answer
    x = 12,229.70

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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.