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Finding the Fourth Proportional to 57,846, 79,827.48 and 31,350

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Solution

The fourth proportional to 57,846, 79,827.48 and 31,350 is: 43,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846 : 79,827.48 = 31,350 : x
  2. Step 2: Convert to fraction form
    57,846/79,827.48 = 31,350/x
  3. Step 3: Cross multiply
    57,846x = 79,827.48 × 31,350
  4. Step 4: Simplify right side
    57,846x = 2,502,591,498
  5. Step 5: Solve for x
    x = 2,502,591,498/57,846
  6. Step 6: Final answer
    x = 43,263

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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.