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Finding the Fourth Proportional to 6,440.92, 9,662.02 and 1,761.21

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Solution

The fourth proportional to 6,440.92, 9,662.02 and 1,761.21 is: 2,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.92 : 9,662.02 = 1,761.21 : x
  2. Step 2: Convert to fraction form
    6,440.92/9,662.02 = 1,761.21/x
  3. Step 3: Cross multiply
    6,440.92x = 9,662.02 × 1,761.21
  4. Step 4: Simplify right side
    6,440.92x = 17,016,841.84
  5. Step 5: Solve for x
    x = 17,016,841.84/6,440.92
  6. Step 6: Final answer
    x = 2,641.99

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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.