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Finding the Fourth Proportional to 4,690.78, 6,473.22 and 2,827.78

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Solution

The fourth proportional to 4,690.78, 6,473.22 and 2,827.78 is: 3,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.78 : 6,473.22 = 2,827.78 : x
  2. Step 2: Convert to fraction form
    4,690.78/6,473.22 = 2,827.78/x
  3. Step 3: Cross multiply
    4,690.78x = 6,473.22 × 2,827.78
  4. Step 4: Simplify right side
    4,690.78x = 18,304,842.05
  5. Step 5: Solve for x
    x = 18,304,842.05/4,690.78
  6. Step 6: Final answer
    x = 3,902.30

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1.5x scale

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.