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Finding the Fourth Proportional to 57,847, 79,828.86 and 31,351

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Solution

The fourth proportional to 57,847, 79,828.86 and 31,351 is: 43,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,847 : 79,828.86 = 31,351 : x
  2. Step 2: Convert to fraction form
    57,847/79,828.86 = 31,351/x
  3. Step 3: Cross multiply
    57,847x = 79,828.86 × 31,351
  4. Step 4: Simplify right side
    57,847x = 2,502,714,589.86
  5. Step 5: Solve for x
    x = 2,502,714,589.86/57,847
  6. Step 6: Final answer
    x = 43,264.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.