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Finding the Fourth Proportional to 11,487.80, 17,234.10 and 3,697.40

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Solution

The fourth proportional to 11,487.80, 17,234.10 and 3,697.40 is: 5,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.80 : 17,234.10 = 3,697.40 : x
  2. Step 2: Convert to fraction form
    11,487.80/17,234.10 = 3,697.40/x
  3. Step 3: Cross multiply
    11,487.80x = 17,234.10 × 3,697.40
  4. Step 4: Simplify right side
    11,487.80x = 63,721,361.34
  5. Step 5: Solve for x
    x = 63,721,361.34/11,487.80
  6. Step 6: Final answer
    x = 5,546.87

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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.