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Finding the Fourth Proportional to 9,847, 13,588.86 and 5,431

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Solution

The fourth proportional to 9,847, 13,588.86 and 5,431 is: 7,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847 : 13,588.86 = 5,431 : x
  2. Step 2: Convert to fraction form
    9,847/13,588.86 = 5,431/x
  3. Step 3: Cross multiply
    9,847x = 13,588.86 × 5,431
  4. Step 4: Simplify right side
    9,847x = 73,801,098.66
  5. Step 5: Solve for x
    x = 73,801,098.66/9,847
  6. Step 6: Final answer
    x = 7,494.78

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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.