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Finding the Fourth Proportional to 11,977.47, 17,950.41 and 9,195.12

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Solution

The fourth proportional to 11,977.47, 17,950.41 and 9,195.12 is: 13,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.47 : 17,950.41 = 9,195.12 : x
  2. Step 2: Convert to fraction form
    11,977.47/17,950.41 = 9,195.12/x
  3. Step 3: Cross multiply
    11,977.47x = 17,950.41 × 9,195.12
  4. Step 4: Simplify right side
    11,977.47x = 165,056,174.00
  5. Step 5: Solve for x
    x = 165,056,174.00/11,977.47
  6. Step 6: Final answer
    x = 13,780.55

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1.5x scale

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.