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Finding the Fourth Proportional to 5,447.89, 8,171.06 and 1,749.64

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Solution

The fourth proportional to 5,447.89, 8,171.06 and 1,749.64 is: 2,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.89 : 8,171.06 = 1,749.64 : x
  2. Step 2: Convert to fraction form
    5,447.89/8,171.06 = 1,749.64/x
  3. Step 3: Cross multiply
    5,447.89x = 8,171.06 × 1,749.64
  4. Step 4: Simplify right side
    5,447.89x = 14,296,404.67
  5. Step 5: Solve for x
    x = 14,296,404.67/5,447.89
  6. Step 6: Final answer
    x = 2,624.21

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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.