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Finding the Fourth Proportional to 31,364.41, 47,046.39 and 7,672.05

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Solution

The fourth proportional to 31,364.41, 47,046.39 and 7,672.05 is: 11,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.41 : 47,046.39 = 7,672.05 : x
  2. Step 2: Convert to fraction form
    31,364.41/47,046.39 = 7,672.05/x
  3. Step 3: Cross multiply
    31,364.41x = 47,046.39 × 7,672.05
  4. Step 4: Simplify right side
    31,364.41x = 360,942,256.40
  5. Step 5: Solve for x
    x = 360,942,256.40/31,364.41
  6. Step 6: Final answer
    x = 11,508.02

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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.