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Finding the Fourth Proportional to 31,920.78, 47,881.14 and 8,546.58

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Solution

The fourth proportional to 31,920.78, 47,881.14 and 8,546.58 is: 12,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.78 : 47,881.14 = 8,546.58 : x
  2. Step 2: Convert to fraction form
    31,920.78/47,881.14 = 8,546.58/x
  3. Step 3: Cross multiply
    31,920.78x = 47,881.14 × 8,546.58
  4. Step 4: Simplify right side
    31,920.78x = 409,219,993.50
  5. Step 5: Solve for x
    x = 409,219,993.50/31,920.78
  6. Step 6: Final answer
    x = 12,819.86

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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.