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Finding the Fourth Proportional to 31,370.97, 47,056.14 and 7,997.16

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Solution

The fourth proportional to 31,370.97, 47,056.14 and 7,997.16 is: 11,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.97 : 47,056.14 = 7,997.16 : x
  2. Step 2: Convert to fraction form
    31,370.97/47,056.14 = 7,997.16/x
  3. Step 3: Cross multiply
    31,370.97x = 47,056.14 × 7,997.16
  4. Step 4: Simplify right side
    31,370.97x = 376,315,480.56
  5. Step 5: Solve for x
    x = 376,315,480.56/31,370.97
  6. Step 6: Final answer
    x = 11,995.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.