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Finding the Fourth Proportional to 29,077, 40,126.26 and 15,829

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Solution

The fourth proportional to 29,077, 40,126.26 and 15,829 is: 21,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,077 : 40,126.26 = 15,829 : x
  2. Step 2: Convert to fraction form
    29,077/40,126.26 = 15,829/x
  3. Step 3: Cross multiply
    29,077x = 40,126.26 × 15,829
  4. Step 4: Simplify right side
    29,077x = 635,158,569.54
  5. Step 5: Solve for x
    x = 635,158,569.54/29,077
  6. Step 6: Final answer
    x = 21,844.02

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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.