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Finding the Fourth Proportional to 31,999.61, 47,999.70 and 12,273.48

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Solution

The fourth proportional to 31,999.61, 47,999.70 and 12,273.48 is: 18,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.61 : 47,999.70 = 12,273.48 : x
  2. Step 2: Convert to fraction form
    31,999.61/47,999.70 = 12,273.48/x
  3. Step 3: Cross multiply
    31,999.61x = 47,999.70 × 12,273.48
  4. Step 4: Simplify right side
    31,999.61x = 589,123,357.96
  5. Step 5: Solve for x
    x = 589,123,357.96/31,999.61
  6. Step 6: Final answer
    x = 18,410.33

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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.