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Finding the Fourth Proportional to 3,868.96, 5,339.22 and 2,100.64

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Solution

The fourth proportional to 3,868.96, 5,339.22 and 2,100.64 is: 2,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.96 : 5,339.22 = 2,100.64 : x
  2. Step 2: Convert to fraction form
    3,868.96/5,339.22 = 2,100.64/x
  3. Step 3: Cross multiply
    3,868.96x = 5,339.22 × 2,100.64
  4. Step 4: Simplify right side
    3,868.96x = 11,215,779.10
  5. Step 5: Solve for x
    x = 11,215,779.10/3,868.96
  6. Step 6: Final answer
    x = 2,898.91

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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.