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Finding the Fourth Proportional to 31,714.32, 47,571.48 and 8,340.72

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Solution

The fourth proportional to 31,714.32, 47,571.48 and 8,340.72 is: 12,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.32 : 47,571.48 = 8,340.72 : x
  2. Step 2: Convert to fraction form
    31,714.32/47,571.48 = 8,340.72/x
  3. Step 3: Cross multiply
    31,714.32x = 47,571.48 × 8,340.72
  4. Step 4: Simplify right side
    31,714.32x = 396,780,394.67
  5. Step 5: Solve for x
    x = 396,780,394.67/31,714.32
  6. Step 6: Final answer
    x = 12,511.08

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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.