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Finding the Fourth Proportional to 9,382.64, 14,031.96 and 8,348.72

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Solution

The fourth proportional to 9,382.64, 14,031.96 and 8,348.72 is: 12,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.64 : 14,031.96 = 8,348.72 : x
  2. Step 2: Convert to fraction form
    9,382.64/14,031.96 = 8,348.72/x
  3. Step 3: Cross multiply
    9,382.64x = 14,031.96 × 8,348.72
  4. Step 4: Simplify right side
    9,382.64x = 117,148,905.09
  5. Step 5: Solve for x
    x = 117,148,905.09/9,382.64
  6. Step 6: Final answer
    x = 12,485.71

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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.