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Finding the Fourth Proportional to 8,342, 11,512.32 and 4,616

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Solution

The fourth proportional to 8,342, 11,512.32 and 4,616 is: 6,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342 : 11,512.32 = 4,616 : x
  2. Step 2: Convert to fraction form
    8,342/11,512.32 = 4,616/x
  3. Step 3: Cross multiply
    8,342x = 11,512.32 × 4,616
  4. Step 4: Simplify right side
    8,342x = 53,140,869.12
  5. Step 5: Solve for x
    x = 53,140,869.12/8,342
  6. Step 6: Final answer
    x = 6,370.28

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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.