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Finding the Fourth Proportional to 9,691.96, 14,539.32 and 3,115.96

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Solution

The fourth proportional to 9,691.96, 14,539.32 and 3,115.96 is: 4,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.96 : 14,539.32 = 3,115.96 : x
  2. Step 2: Convert to fraction form
    9,691.96/14,539.32 = 3,115.96/x
  3. Step 3: Cross multiply
    9,691.96x = 14,539.32 × 3,115.96
  4. Step 4: Simplify right side
    9,691.96x = 45,303,939.55
  5. Step 5: Solve for x
    x = 45,303,939.55/9,691.96
  6. Step 6: Final answer
    x = 4,674.38

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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.