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Finding the Fourth Proportional to 29,115, 40,178.70 and 15,867

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Solution

The fourth proportional to 29,115, 40,178.70 and 15,867 is: 21,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,115 : 40,178.70 = 15,867 : x
  2. Step 2: Convert to fraction form
    29,115/40,178.70 = 15,867/x
  3. Step 3: Cross multiply
    29,115x = 40,178.70 × 15,867
  4. Step 4: Simplify right side
    29,115x = 637,515,432.90
  5. Step 5: Solve for x
    x = 637,515,432.90/29,115
  6. Step 6: Final answer
    x = 21,896.46

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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.