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Finding the Fourth Proportional to 8,606.16, 11,876.09 and 5,418.54

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Solution

The fourth proportional to 8,606.16, 11,876.09 and 5,418.54 is: 7,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.16 : 11,876.09 = 5,418.54 : x
  2. Step 2: Convert to fraction form
    8,606.16/11,876.09 = 5,418.54/x
  3. Step 3: Cross multiply
    8,606.16x = 11,876.09 × 5,418.54
  4. Step 4: Simplify right side
    8,606.16x = 64,351,041.62
  5. Step 5: Solve for x
    x = 64,351,041.62/8,606.16
  6. Step 6: Final answer
    x = 7,477.32

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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.