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Finding the Fourth Proportional to 2,800.05, 3,863.91 and 1,540.86

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Solution

The fourth proportional to 2,800.05, 3,863.91 and 1,540.86 is: 2,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.05 : 3,863.91 = 1,540.86 : x
  2. Step 2: Convert to fraction form
    2,800.05/3,863.91 = 1,540.86/x
  3. Step 3: Cross multiply
    2,800.05x = 3,863.91 × 1,540.86
  4. Step 4: Simplify right side
    2,800.05x = 5,953,735.65
  5. Step 5: Solve for x
    x = 5,953,735.65/2,800.05
  6. Step 6: Final answer
    x = 2,126.30

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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.