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Finding the Fourth Proportional to 31,447.72, 47,172.06 and 8,073.64

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Solution

The fourth proportional to 31,447.72, 47,172.06 and 8,073.64 is: 12,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.72 : 47,172.06 = 8,073.64 : x
  2. Step 2: Convert to fraction form
    31,447.72/47,172.06 = 8,073.64/x
  3. Step 3: Cross multiply
    31,447.72x = 47,172.06 × 8,073.64
  4. Step 4: Simplify right side
    31,447.72x = 380,850,230.50
  5. Step 5: Solve for x
    x = 380,850,230.50/31,447.72
  6. Step 6: Final answer
    x = 12,110.58

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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.