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Finding the Fourth Proportional to 5,398.93, 8,105.16 and 5,149.63

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Solution

The fourth proportional to 5,398.93, 8,105.16 and 5,149.63 is: 7,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.93 : 8,105.16 = 5,149.63 : x
  2. Step 2: Convert to fraction form
    5,398.93/8,105.16 = 5,149.63/x
  3. Step 3: Cross multiply
    5,398.93x = 8,105.16 × 5,149.63
  4. Step 4: Simplify right side
    5,398.93x = 41,738,575.09
  5. Step 5: Solve for x
    x = 41,738,575.09/5,398.93
  6. Step 6: Final answer
    x = 7,730.90

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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.