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Finding the Fourth Proportional to 6,442.66, 8,889.27 and 4,083.94

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Solution

The fourth proportional to 6,442.66, 8,889.27 and 4,083.94 is: 5,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.66 : 8,889.27 = 4,083.94 : x
  2. Step 2: Convert to fraction form
    6,442.66/8,889.27 = 4,083.94/x
  3. Step 3: Cross multiply
    6,442.66x = 8,889.27 × 4,083.94
  4. Step 4: Simplify right side
    6,442.66x = 36,303,245.32
  5. Step 5: Solve for x
    x = 36,303,245.32/6,442.66
  6. Step 6: Final answer
    x = 5,634.82

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Why These Related Problems?

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