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Finding the Fourth Proportional to 31,447.62, 47,171.48 and 8,074.07

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Solution

The fourth proportional to 31,447.62, 47,171.48 and 8,074.07 is: 12,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.62 : 47,171.48 = 8,074.07 : x
  2. Step 2: Convert to fraction form
    31,447.62/47,171.48 = 8,074.07/x
  3. Step 3: Cross multiply
    31,447.62x = 47,171.48 × 8,074.07
  4. Step 4: Simplify right side
    31,447.62x = 380,865,555.30
  5. Step 5: Solve for x
    x = 380,865,555.30/31,447.62
  6. Step 6: Final answer
    x = 12,111.11

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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.