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Finding the Fourth Proportional to 13,978.91, 20,961.11 and 4,116.89

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Solution

The fourth proportional to 13,978.91, 20,961.11 and 4,116.89 is: 6,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.91 : 20,961.11 = 4,116.89 : x
  2. Step 2: Convert to fraction form
    13,978.91/20,961.11 = 4,116.89/x
  3. Step 3: Cross multiply
    13,978.91x = 20,961.11 × 4,116.89
  4. Step 4: Simplify right side
    13,978.91x = 86,294,646.84
  5. Step 5: Solve for x
    x = 86,294,646.84/13,978.91
  6. Step 6: Final answer
    x = 6,173.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.