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Finding the Fourth Proportional to 6,131.04, 8,451 and 4,140.96

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Solution

The fourth proportional to 6,131.04, 8,451 and 4,140.96 is: 5,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.04 : 8,451 = 4,140.96 : x
  2. Step 2: Convert to fraction form
    6,131.04/8,451 = 4,140.96/x
  3. Step 3: Cross multiply
    6,131.04x = 8,451 × 4,140.96
  4. Step 4: Simplify right side
    6,131.04x = 34,995,252.96
  5. Step 5: Solve for x
    x = 34,995,252.96/6,131.04
  6. Step 6: Final answer
    x = 5,707.88

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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.