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Finding the Fourth Proportional to 8,616.56, 12,914.82 and 4,921.38

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Solution

The fourth proportional to 8,616.56, 12,914.82 and 4,921.38 is: 7,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.56 : 12,914.82 = 4,921.38 : x
  2. Step 2: Convert to fraction form
    8,616.56/12,914.82 = 4,921.38/x
  3. Step 3: Cross multiply
    8,616.56x = 12,914.82 × 4,921.38
  4. Step 4: Simplify right side
    8,616.56x = 63,558,736.85
  5. Step 5: Solve for x
    x = 63,558,736.85/8,616.56
  6. Step 6: Final answer
    x = 7,376.35

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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.