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Finding the Fourth Proportional to 2,843.16, 4,262.62 and 1,916.12

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Solution

The fourth proportional to 2,843.16, 4,262.62 and 1,916.12 is: 2,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.16 : 4,262.62 = 1,916.12 : x
  2. Step 2: Convert to fraction form
    2,843.16/4,262.62 = 1,916.12/x
  3. Step 3: Cross multiply
    2,843.16x = 4,262.62 × 1,916.12
  4. Step 4: Simplify right side
    2,843.16x = 8,167,691.43
  5. Step 5: Solve for x
    x = 8,167,691.43/2,843.16
  6. Step 6: Final answer
    x = 2,872.75

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1.5x scale

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.