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Finding the Fourth Proportional to 31,583.15, 47,371.05 and 8,211.41

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Solution

The fourth proportional to 31,583.15, 47,371.05 and 8,211.41 is: 12,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,583.15 : 47,371.05 = 8,211.41 : x
  2. Step 2: Convert to fraction form
    31,583.15/47,371.05 = 8,211.41/x
  3. Step 3: Cross multiply
    31,583.15x = 47,371.05 × 8,211.41
  4. Step 4: Simplify right side
    31,583.15x = 388,983,113.68
  5. Step 5: Solve for x
    x = 388,983,113.68/31,583.15
  6. Step 6: Final answer
    x = 12,316.16

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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.