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Finding the Fourth Proportional to 31,820.92, 47,731.38 and 8,446.76

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Solution

The fourth proportional to 31,820.92, 47,731.38 and 8,446.76 is: 12,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.92 : 47,731.38 = 8,446.76 : x
  2. Step 2: Convert to fraction form
    31,820.92/47,731.38 = 8,446.76/x
  3. Step 3: Cross multiply
    31,820.92x = 47,731.38 × 8,446.76
  4. Step 4: Simplify right side
    31,820.92x = 403,175,511.33
  5. Step 5: Solve for x
    x = 403,175,511.33/31,820.92
  6. Step 6: Final answer
    x = 12,670.14

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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.