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Finding the Fourth Proportional to 31,896.64, 47,814 and 17,863.40

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Solution

The fourth proportional to 31,896.64, 47,814 and 17,863.40 is: 26,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.64 : 47,814 = 17,863.40 : x
  2. Step 2: Convert to fraction form
    31,896.64/47,814 = 17,863.40/x
  3. Step 3: Cross multiply
    31,896.64x = 47,814 × 17,863.40
  4. Step 4: Simplify right side
    31,896.64x = 854,120,607.60
  5. Step 5: Solve for x
    x = 854,120,607.60/31,896.64
  6. Step 6: Final answer
    x = 26,777.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.