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Finding the Fourth Proportional to 29,116, 40,180.16 and 15,868

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Solution

The fourth proportional to 29,116, 40,180.16 and 15,868 is: 21,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116 : 40,180.16 = 15,868 : x
  2. Step 2: Convert to fraction form
    29,116/40,180.16 = 15,868/x
  3. Step 3: Cross multiply
    29,116x = 40,180.16 × 15,868
  4. Step 4: Simplify right side
    29,116x = 637,578,778.88
  5. Step 5: Solve for x
    x = 637,578,778.88/29,116
  6. Step 6: Final answer
    x = 21,897.88

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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.