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Finding the Fourth Proportional to 11,963.80, 17,977.38 and 6,421.24

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Solution

The fourth proportional to 11,963.80, 17,977.38 and 6,421.24 is: 9,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.80 : 17,977.38 = 6,421.24 : x
  2. Step 2: Convert to fraction form
    11,963.80/17,977.38 = 6,421.24/x
  3. Step 3: Cross multiply
    11,963.80x = 17,977.38 × 6,421.24
  4. Step 4: Simplify right side
    11,963.80x = 115,437,071.55
  5. Step 5: Solve for x
    x = 115,437,071.55/11,963.80
  6. Step 6: Final answer
    x = 9,648.86

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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.