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Finding the Fourth Proportional to 8,154, 11,251.53 and 4,617.09

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Solution

The fourth proportional to 8,154, 11,251.53 and 4,617.09 is: 6,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 11,251.53 = 4,617.09 : x
  2. Step 2: Convert to fraction form
    8,154/11,251.53 = 4,617.09/x
  3. Step 3: Cross multiply
    8,154x = 11,251.53 × 4,617.09
  4. Step 4: Simplify right side
    8,154x = 51,949,326.65
  5. Step 5: Solve for x
    x = 51,949,326.65/8,154
  6. Step 6: Final answer
    x = 6,371.02

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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.