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Finding the Fourth Proportional to 6,355.86, 8,771.16 and 3,561.54

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Solution

The fourth proportional to 6,355.86, 8,771.16 and 3,561.54 is: 4,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.86 : 8,771.16 = 3,561.54 : x
  2. Step 2: Convert to fraction form
    6,355.86/8,771.16 = 3,561.54/x
  3. Step 3: Cross multiply
    6,355.86x = 8,771.16 × 3,561.54
  4. Step 4: Simplify right side
    6,355.86x = 31,238,837.19
  5. Step 5: Solve for x
    x = 31,238,837.19/6,355.86
  6. Step 6: Final answer
    x = 4,914.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.