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Finding the Fourth Proportional to 3,866.10, 5,785.47 and 2,405.94

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Solution

The fourth proportional to 3,866.10, 5,785.47 and 2,405.94 is: 3,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.10 : 5,785.47 = 2,405.94 : x
  2. Step 2: Convert to fraction form
    3,866.10/5,785.47 = 2,405.94/x
  3. Step 3: Cross multiply
    3,866.10x = 5,785.47 × 2,405.94
  4. Step 4: Simplify right side
    3,866.10x = 13,919,493.69
  5. Step 5: Solve for x
    x = 13,919,493.69/3,866.10
  6. Step 6: Final answer
    x = 3,600.40

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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.