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Finding the Fourth Proportional to 2,843.92, 4,263.74 and 1,916.88

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Solution

The fourth proportional to 2,843.92, 4,263.74 and 1,916.88 is: 2,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.92 : 4,263.74 = 1,916.88 : x
  2. Step 2: Convert to fraction form
    2,843.92/4,263.74 = 1,916.88/x
  3. Step 3: Cross multiply
    2,843.92x = 4,263.74 × 1,916.88
  4. Step 4: Simplify right side
    2,843.92x = 8,173,077.93
  5. Step 5: Solve for x
    x = 8,173,077.93/2,843.92
  6. Step 6: Final answer
    x = 2,873.88

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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.