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Finding the Fourth Proportional to 31,998.80, 47,998.20 and 19,314.20

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Solution

The fourth proportional to 31,998.80, 47,998.20 and 19,314.20 is: 28,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.80 : 47,998.20 = 19,314.20 : x
  2. Step 2: Convert to fraction form
    31,998.80/47,998.20 = 19,314.20/x
  3. Step 3: Cross multiply
    31,998.80x = 47,998.20 × 19,314.20
  4. Step 4: Simplify right side
    31,998.80x = 927,046,834.44
  5. Step 5: Solve for x
    x = 927,046,834.44/31,998.80
  6. Step 6: Final answer
    x = 28,971.30

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Similar ratio
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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.