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Finding the Fourth Proportional to 6,820, 10,230 and 2,718.88

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Solution

The fourth proportional to 6,820, 10,230 and 2,718.88 is: 4,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820 : 10,230 = 2,718.88 : x
  2. Step 2: Convert to fraction form
    6,820/10,230 = 2,718.88/x
  3. Step 3: Cross multiply
    6,820x = 10,230 × 2,718.88
  4. Step 4: Simplify right side
    6,820x = 27,814,142.40
  5. Step 5: Solve for x
    x = 27,814,142.40/6,820
  6. Step 6: Final answer
    x = 4,078.32

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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.