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Finding the Fourth Proportional to 3,878.92, 5,352.51 and 2,306.71

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Solution

The fourth proportional to 3,878.92, 5,352.51 and 2,306.71 is: 3,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.92 : 5,352.51 = 2,306.71 : x
  2. Step 2: Convert to fraction form
    3,878.92/5,352.51 = 2,306.71/x
  3. Step 3: Cross multiply
    3,878.92x = 5,352.51 × 2,306.71
  4. Step 4: Simplify right side
    3,878.92x = 12,346,688.34
  5. Step 5: Solve for x
    x = 12,346,688.34/3,878.92
  6. Step 6: Final answer
    x = 3,183.02

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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.