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Finding the Fourth Proportional to 6,440.91, 9,659.85 and 1,759.82

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Solution

The fourth proportional to 6,440.91, 9,659.85 and 1,759.82 is: 2,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.91 : 9,659.85 = 1,759.82 : x
  2. Step 2: Convert to fraction form
    6,440.91/9,659.85 = 1,759.82/x
  3. Step 3: Cross multiply
    6,440.91x = 9,659.85 × 1,759.82
  4. Step 4: Simplify right side
    6,440.91x = 16,999,548.93
  5. Step 5: Solve for x
    x = 16,999,548.93/6,440.91
  6. Step 6: Final answer
    x = 2,639.31

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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.