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Finding the Fourth Proportional to 8,448.48, 11,660.67 and 5,616.09

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Solution

The fourth proportional to 8,448.48, 11,660.67 and 5,616.09 is: 7,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.48 : 11,660.67 = 5,616.09 : x
  2. Step 2: Convert to fraction form
    8,448.48/11,660.67 = 5,616.09/x
  3. Step 3: Cross multiply
    8,448.48x = 11,660.67 × 5,616.09
  4. Step 4: Simplify right side
    8,448.48x = 65,487,372.18
  5. Step 5: Solve for x
    x = 65,487,372.18/8,448.48
  6. Step 6: Final answer
    x = 7,751.38

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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.