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Finding the Fourth Proportional to 4,083, 5,634.56 and 2,220

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Solution

The fourth proportional to 4,083, 5,634.56 and 2,220 is: 3,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083 : 5,634.56 = 2,220 : x
  2. Step 2: Convert to fraction form
    4,083/5,634.56 = 2,220/x
  3. Step 3: Cross multiply
    4,083x = 5,634.56 × 2,220
  4. Step 4: Simplify right side
    4,083x = 12,508,723.20
  5. Step 5: Solve for x
    x = 12,508,723.20/4,083
  6. Step 6: Final answer
    x = 3,063.61

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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.