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Finding the Fourth Proportional to 6,407.91, 9,645.86 and 4,571.73

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Solution

The fourth proportional to 6,407.91, 9,645.86 and 4,571.73 is: 6,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.91 : 9,645.86 = 4,571.73 : x
  2. Step 2: Convert to fraction form
    6,407.91/9,645.86 = 4,571.73/x
  3. Step 3: Cross multiply
    6,407.91x = 9,645.86 × 4,571.73
  4. Step 4: Simplify right side
    6,407.91x = 44,098,244.68
  5. Step 5: Solve for x
    x = 44,098,244.68/6,407.91
  6. Step 6: Final answer
    x = 6,881.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.