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Finding the Fourth Proportional to 30,344, 45,515.94 and 8,157.38

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Solution

The fourth proportional to 30,344, 45,515.94 and 8,157.38 is: 12,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344 : 45,515.94 = 8,157.38 : x
  2. Step 2: Convert to fraction form
    30,344/45,515.94 = 8,157.38/x
  3. Step 3: Cross multiply
    30,344x = 45,515.94 × 8,157.38
  4. Step 4: Simplify right side
    30,344x = 371,290,818.64
  5. Step 5: Solve for x
    x = 371,290,818.64/30,344
  6. Step 6: Final answer
    x = 12,236.05

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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.