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Finding the Fourth Proportional to 31,858.76, 47,789.76 and 12,133.64

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Solution

The fourth proportional to 31,858.76, 47,789.76 and 12,133.64 is: 18,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.76 : 47,789.76 = 12,133.64 : x
  2. Step 2: Convert to fraction form
    31,858.76/47,789.76 = 12,133.64/x
  3. Step 3: Cross multiply
    31,858.76x = 47,789.76 × 12,133.64
  4. Step 4: Simplify right side
    31,858.76x = 579,863,743.53
  5. Step 5: Solve for x
    x = 579,863,743.53/31,858.76
  6. Step 6: Final answer
    x = 18,201.08

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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.