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Finding the Fourth Proportional to 8,516.95, 11,755.46 and 5,684.47

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Solution

The fourth proportional to 8,516.95, 11,755.46 and 5,684.47 is: 7,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.95 : 11,755.46 = 5,684.47 : x
  2. Step 2: Convert to fraction form
    8,516.95/11,755.46 = 5,684.47/x
  3. Step 3: Cross multiply
    8,516.95x = 11,755.46 × 5,684.47
  4. Step 4: Simplify right side
    8,516.95x = 66,823,531.28
  5. Step 5: Solve for x
    x = 66,823,531.28/8,516.95
  6. Step 6: Final answer
    x = 7,845.95

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1.5x scale

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.