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Finding the Fourth Proportional to 31,794.46, 47,691.67 and 8,420.90

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Solution

The fourth proportional to 31,794.46, 47,691.67 and 8,420.90 is: 12,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.46 : 47,691.67 = 8,420.90 : x
  2. Step 2: Convert to fraction form
    31,794.46/47,691.67 = 8,420.90/x
  3. Step 3: Cross multiply
    31,794.46x = 47,691.67 × 8,420.90
  4. Step 4: Simplify right side
    31,794.46x = 401,606,783.90
  5. Step 5: Solve for x
    x = 401,606,783.90/31,794.46
  6. Step 6: Final answer
    x = 12,631.34

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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.