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Finding the Fourth Proportional to 6,643.92, 9,967.32 and 1,964.28

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Solution

The fourth proportional to 6,643.92, 9,967.32 and 1,964.28 is: 2,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.92 : 9,967.32 = 1,964.28 : x
  2. Step 2: Convert to fraction form
    6,643.92/9,967.32 = 1,964.28/x
  3. Step 3: Cross multiply
    6,643.92x = 9,967.32 × 1,964.28
  4. Step 4: Simplify right side
    6,643.92x = 19,578,607.33
  5. Step 5: Solve for x
    x = 19,578,607.33/6,643.92
  6. Step 6: Final answer
    x = 2,946.85

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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.