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Finding the Fourth Proportional to 9,314, 12,861 and 8,148.56

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Solution

The fourth proportional to 9,314, 12,861 and 8,148.56 is: 11,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314 : 12,861 = 8,148.56 : x
  2. Step 2: Convert to fraction form
    9,314/12,861 = 8,148.56/x
  3. Step 3: Cross multiply
    9,314x = 12,861 × 8,148.56
  4. Step 4: Simplify right side
    9,314x = 104,798,630.16
  5. Step 5: Solve for x
    x = 104,798,630.16/9,314
  6. Step 6: Final answer
    x = 11,251.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.