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Finding the Fourth Proportional to 6,131.36, 8,457 and 4,634.48

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Solution

The fourth proportional to 6,131.36, 8,457 and 4,634.48 is: 6,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.36 : 8,457 = 4,634.48 : x
  2. Step 2: Convert to fraction form
    6,131.36/8,457 = 4,634.48/x
  3. Step 3: Cross multiply
    6,131.36x = 8,457 × 4,634.48
  4. Step 4: Simplify right side
    6,131.36x = 39,193,797.36
  5. Step 5: Solve for x
    x = 39,193,797.36/6,131.36
  6. Step 6: Final answer
    x = 6,392.35

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1.5x scale

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.