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Finding the Fourth Proportional to 9,887.69, 13,644.63 and 5,906.43

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Solution

The fourth proportional to 9,887.69, 13,644.63 and 5,906.43 is: 8,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.69 : 13,644.63 = 5,906.43 : x
  2. Step 2: Convert to fraction form
    9,887.69/13,644.63 = 5,906.43/x
  3. Step 3: Cross multiply
    9,887.69x = 13,644.63 × 5,906.43
  4. Step 4: Simplify right side
    9,887.69x = 80,591,051.97
  5. Step 5: Solve for x
    x = 80,591,051.97/9,887.69
  6. Step 6: Final answer
    x = 8,150.65

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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.