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Finding the Fourth Proportional to 31,641.59, 47,462.81 and 8,268

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Solution

The fourth proportional to 31,641.59, 47,462.81 and 8,268 is: 12,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.59 : 47,462.81 = 8,268 : x
  2. Step 2: Convert to fraction form
    31,641.59/47,462.81 = 8,268/x
  3. Step 3: Cross multiply
    31,641.59x = 47,462.81 × 8,268
  4. Step 4: Simplify right side
    31,641.59x = 392,422,471.74
  5. Step 5: Solve for x
    x = 392,422,471.74/31,641.59
  6. Step 6: Final answer
    x = 12,402.11

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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.