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Finding the Fourth Proportional to 6,161.79, 8,502.77 and 3,643.41

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Solution

The fourth proportional to 6,161.79, 8,502.77 and 3,643.41 is: 5,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.79 : 8,502.77 = 3,643.41 : x
  2. Step 2: Convert to fraction form
    6,161.79/8,502.77 = 3,643.41/x
  3. Step 3: Cross multiply
    6,161.79x = 8,502.77 × 3,643.41
  4. Step 4: Simplify right side
    6,161.79x = 30,979,118.24
  5. Step 5: Solve for x
    x = 30,979,118.24/6,161.79
  6. Step 6: Final answer
    x = 5,027.62

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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.