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Finding the Fourth Proportional to 6,405.73, 9,601.05 and 2,891.64

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Solution

The fourth proportional to 6,405.73, 9,601.05 and 2,891.64 is: 4,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.73 : 9,601.05 = 2,891.64 : x
  2. Step 2: Convert to fraction form
    6,405.73/9,601.05 = 2,891.64/x
  3. Step 3: Cross multiply
    6,405.73x = 9,601.05 × 2,891.64
  4. Step 4: Simplify right side
    6,405.73x = 27,762,755.06
  5. Step 5: Solve for x
    x = 27,762,755.06/6,405.73
  6. Step 6: Final answer
    x = 4,334.05

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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.