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Finding the Fourth Proportional to 6,424.44, 8,859.42 and 5,161.46

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Solution

The fourth proportional to 6,424.44, 8,859.42 and 5,161.46 is: 7,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.44 : 8,859.42 = 5,161.46 : x
  2. Step 2: Convert to fraction form
    6,424.44/8,859.42 = 5,161.46/x
  3. Step 3: Cross multiply
    6,424.44x = 8,859.42 × 5,161.46
  4. Step 4: Simplify right side
    6,424.44x = 45,727,497.66
  5. Step 5: Solve for x
    x = 45,727,497.66/6,424.44
  6. Step 6: Final answer
    x = 7,117.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.