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Finding the Fourth Proportional to 31,714, 43,765.32 and 17,567.76

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Solution

The fourth proportional to 31,714, 43,765.32 and 17,567.76 is: 24,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714 : 43,765.32 = 17,567.76 : x
  2. Step 2: Convert to fraction form
    31,714/43,765.32 = 17,567.76/x
  3. Step 3: Cross multiply
    31,714x = 43,765.32 × 17,567.76
  4. Step 4: Simplify right side
    31,714x = 768,858,638.08
  5. Step 5: Solve for x
    x = 768,858,638.08/31,714
  6. Step 6: Final answer
    x = 24,243.51

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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.