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Finding the Fourth Proportional to 3,826.84, 5,280.84 and 2,148.42

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Solution

The fourth proportional to 3,826.84, 5,280.84 and 2,148.42 is: 2,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.84 : 5,280.84 = 2,148.42 : x
  2. Step 2: Convert to fraction form
    3,826.84/5,280.84 = 2,148.42/x
  3. Step 3: Cross multiply
    3,826.84x = 5,280.84 × 2,148.42
  4. Step 4: Simplify right side
    3,826.84x = 11,345,462.27
  5. Step 5: Solve for x
    x = 11,345,462.27/3,826.84
  6. Step 6: Final answer
    x = 2,964.71

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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.