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Finding the Fourth Proportional to 31,920.45, 47,879.76 and 8,546.88

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Solution

The fourth proportional to 31,920.45, 47,879.76 and 8,546.88 is: 12,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.45 : 47,879.76 = 8,546.88 : x
  2. Step 2: Convert to fraction form
    31,920.45/47,879.76 = 8,546.88/x
  3. Step 3: Cross multiply
    31,920.45x = 47,879.76 × 8,546.88
  4. Step 4: Simplify right side
    31,920.45x = 409,222,563.15
  5. Step 5: Solve for x
    x = 409,222,563.15/31,920.45
  6. Step 6: Final answer
    x = 12,820.08

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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.