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Finding the Fourth Proportional to 11,615.66, 17,380.43 and 6,938.21

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Solution

The fourth proportional to 11,615.66, 17,380.43 and 6,938.21 is: 10,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.66 : 17,380.43 = 6,938.21 : x
  2. Step 2: Convert to fraction form
    11,615.66/17,380.43 = 6,938.21/x
  3. Step 3: Cross multiply
    11,615.66x = 17,380.43 × 6,938.21
  4. Step 4: Simplify right side
    11,615.66x = 120,589,121.02
  5. Step 5: Solve for x
    x = 120,589,121.02/11,615.66
  6. Step 6: Final answer
    x = 10,381.60

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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.