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Finding the Fourth Proportional to 6,643.94, 9,172.32 and 3,992

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Solution

The fourth proportional to 6,643.94, 9,172.32 and 3,992 is: 5,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.94 : 9,172.32 = 3,992 : x
  2. Step 2: Convert to fraction form
    6,643.94/9,172.32 = 3,992/x
  3. Step 3: Cross multiply
    6,643.94x = 9,172.32 × 3,992
  4. Step 4: Simplify right side
    6,643.94x = 36,615,901.44
  5. Step 5: Solve for x
    x = 36,615,901.44/6,643.94
  6. Step 6: Final answer
    x = 5,511.17

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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.