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Finding the Fourth Proportional to 29,108, 40,169.12 and 15,860

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Solution

The fourth proportional to 29,108, 40,169.12 and 15,860 is: 21,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,108 : 40,169.12 = 15,860 : x
  2. Step 2: Convert to fraction form
    29,108/40,169.12 = 15,860/x
  3. Step 3: Cross multiply
    29,108x = 40,169.12 × 15,860
  4. Step 4: Simplify right side
    29,108x = 637,082,243.20
  5. Step 5: Solve for x
    x = 637,082,243.20/29,108
  6. Step 6: Final answer
    x = 21,886.84

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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.