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Finding the Fourth Proportional to 9,855.68, 14,785.94 and 3,619.08

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Solution

The fourth proportional to 9,855.68, 14,785.94 and 3,619.08 is: 5,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.68 : 14,785.94 = 3,619.08 : x
  2. Step 2: Convert to fraction form
    9,855.68/14,785.94 = 3,619.08/x
  3. Step 3: Cross multiply
    9,855.68x = 14,785.94 × 3,619.08
  4. Step 4: Simplify right side
    9,855.68x = 53,511,508.78
  5. Step 5: Solve for x
    x = 53,511,508.78/9,855.68
  6. Step 6: Final answer
    x = 5,429.51

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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.