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Finding the Fourth Proportional to 5,147.15, 7,720.72 and 1,449.44

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Solution

The fourth proportional to 5,147.15, 7,720.72 and 1,449.44 is: 2,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.15 : 7,720.72 = 1,449.44 : x
  2. Step 2: Convert to fraction form
    5,147.15/7,720.72 = 1,449.44/x
  3. Step 3: Cross multiply
    5,147.15x = 7,720.72 × 1,449.44
  4. Step 4: Simplify right side
    5,147.15x = 11,190,750.55
  5. Step 5: Solve for x
    x = 11,190,750.55/5,147.15
  6. Step 6: Final answer
    x = 2,174.17

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Double scale
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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.