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Finding the Fourth Proportional to 6,490.85, 9,723.44 and 4,292.91

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Solution

The fourth proportional to 6,490.85, 9,723.44 and 4,292.91 is: 6,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.85 : 9,723.44 = 4,292.91 : x
  2. Step 2: Convert to fraction form
    6,490.85/9,723.44 = 4,292.91/x
  3. Step 3: Cross multiply
    6,490.85x = 9,723.44 × 4,292.91
  4. Step 4: Simplify right side
    6,490.85x = 41,741,863.54
  5. Step 5: Solve for x
    x = 41,741,863.54/6,490.85
  6. Step 6: Final answer
    x = 6,430.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.