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Finding the Fourth Proportional to 9,935.16, 14,905.52 and 8,103.56

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Solution

The fourth proportional to 9,935.16, 14,905.52 and 8,103.56 is: 12,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.16 : 14,905.52 = 8,103.56 : x
  2. Step 2: Convert to fraction form
    9,935.16/14,905.52 = 8,103.56/x
  3. Step 3: Cross multiply
    9,935.16x = 14,905.52 × 8,103.56
  4. Step 4: Simplify right side
    9,935.16x = 120,787,775.65
  5. Step 5: Solve for x
    x = 120,787,775.65/9,935.16
  6. Step 6: Final answer
    x = 12,157.61

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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.