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Finding the Fourth Proportional to 5,618.96, 7,697.89 and 5,408.64

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Solution

The fourth proportional to 5,618.96, 7,697.89 and 5,408.64 is: 7,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.96 : 7,697.89 = 5,408.64 : x
  2. Step 2: Convert to fraction form
    5,618.96/7,697.89 = 5,408.64/x
  3. Step 3: Cross multiply
    5,618.96x = 7,697.89 × 5,408.64
  4. Step 4: Simplify right side
    5,618.96x = 41,635,115.77
  5. Step 5: Solve for x
    x = 41,635,115.77/5,618.96
  6. Step 6: Final answer
    x = 7,409.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.