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Finding the Fourth Proportional to 31,889.39, 47,837.32 and 8,517.47

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Solution

The fourth proportional to 31,889.39, 47,837.32 and 8,517.47 is: 12,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.39 : 47,837.32 = 8,517.47 : x
  2. Step 2: Convert to fraction form
    31,889.39/47,837.32 = 8,517.47/x
  3. Step 3: Cross multiply
    31,889.39x = 47,837.32 × 8,517.47
  4. Step 4: Simplify right side
    31,889.39x = 407,452,677.50
  5. Step 5: Solve for x
    x = 407,452,677.50/31,889.39
  6. Step 6: Final answer
    x = 12,777.06

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1.5x scale

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.