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Finding the Fourth Proportional to 4,141, 5,714.60 and 2,278

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Solution

The fourth proportional to 4,141, 5,714.60 and 2,278 is: 3,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141 : 5,714.60 = 2,278 : x
  2. Step 2: Convert to fraction form
    4,141/5,714.60 = 2,278/x
  3. Step 3: Cross multiply
    4,141x = 5,714.60 × 2,278
  4. Step 4: Simplify right side
    4,141x = 13,017,858.80
  5. Step 5: Solve for x
    x = 13,017,858.80/4,141
  6. Step 6: Final answer
    x = 3,143.65

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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.