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Finding the Fourth Proportional to 29,170, 40,254.60 and 15,922

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Solution

The fourth proportional to 29,170, 40,254.60 and 15,922 is: 21,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,170 : 40,254.60 = 15,922 : x
  2. Step 2: Convert to fraction form
    29,170/40,254.60 = 15,922/x
  3. Step 3: Cross multiply
    29,170x = 40,254.60 × 15,922
  4. Step 4: Simplify right side
    29,170x = 640,933,741.20
  5. Step 5: Solve for x
    x = 640,933,741.20/29,170
  6. Step 6: Final answer
    x = 21,972.36

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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.