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Finding the Fourth Proportional to 8,436, 11,641.50 and 4,659.18

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Solution

The fourth proportional to 8,436, 11,641.50 and 4,659.18 is: 6,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436 : 11,641.50 = 4,659.18 : x
  2. Step 2: Convert to fraction form
    8,436/11,641.50 = 4,659.18/x
  3. Step 3: Cross multiply
    8,436x = 11,641.50 × 4,659.18
  4. Step 4: Simplify right side
    8,436x = 54,239,843.97
  5. Step 5: Solve for x
    x = 54,239,843.97/8,436
  6. Step 6: Final answer
    x = 6,429.57

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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.