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Finding the Fourth Proportional to 5,446.89, 8,170.34 and 1,342.89

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Solution

The fourth proportional to 5,446.89, 8,170.34 and 1,342.89 is: 2,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.89 : 8,170.34 = 1,342.89 : x
  2. Step 2: Convert to fraction form
    5,446.89/8,170.34 = 1,342.89/x
  3. Step 3: Cross multiply
    5,446.89x = 8,170.34 × 1,342.89
  4. Step 4: Simplify right side
    5,446.89x = 10,971,861.17
  5. Step 5: Solve for x
    x = 10,971,861.17/5,446.89
  6. Step 6: Final answer
    x = 2,014.34

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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.