Home / 2,772.38-3,827.28-2,141.48

Finding the Fourth Proportional to 2,772.38, 3,827.28 and 2,141.48

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Solution

The fourth proportional to 2,772.38, 3,827.28 and 2,141.48 is: 2,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.38 : 3,827.28 = 2,141.48 : x
  2. Step 2: Convert to fraction form
    2,772.38/3,827.28 = 2,141.48/x
  3. Step 3: Cross multiply
    2,772.38x = 3,827.28 × 2,141.48
  4. Step 4: Simplify right side
    2,772.38x = 8,196,024.44
  5. Step 5: Solve for x
    x = 8,196,024.44/2,772.38
  6. Step 6: Final answer
    x = 2,956.32

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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.