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Finding the Fourth Proportional to 6,816, 10,216.96 and 2,922.88

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Solution

The fourth proportional to 6,816, 10,216.96 and 2,922.88 is: 4,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 10,216.96 = 2,922.88 : x
  2. Step 2: Convert to fraction form
    6,816/10,216.96 = 2,922.88/x
  3. Step 3: Cross multiply
    6,816x = 10,216.96 × 2,922.88
  4. Step 4: Simplify right side
    6,816x = 29,862,948.04
  5. Step 5: Solve for x
    x = 29,862,948.04/6,816
  6. Step 6: Final answer
    x = 4,381.30

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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.