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Finding the Fourth Proportional to 31,999.80, 47,999.70 and 19,315.20

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Solution

The fourth proportional to 31,999.80, 47,999.70 and 19,315.20 is: 28,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.80 : 47,999.70 = 19,315.20 : x
  2. Step 2: Convert to fraction form
    31,999.80/47,999.70 = 19,315.20/x
  3. Step 3: Cross multiply
    31,999.80x = 47,999.70 × 19,315.20
  4. Step 4: Simplify right side
    31,999.80x = 927,123,805.44
  5. Step 5: Solve for x
    x = 927,123,805.44/31,999.80
  6. Step 6: Final answer
    x = 28,972.80

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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.