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Finding the Fourth Proportional to 5,653.76, 8,481.85 and 2,143.82

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Solution

The fourth proportional to 5,653.76, 8,481.85 and 2,143.82 is: 3,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.76 : 8,481.85 = 2,143.82 : x
  2. Step 2: Convert to fraction form
    5,653.76/8,481.85 = 2,143.82/x
  3. Step 3: Cross multiply
    5,653.76x = 8,481.85 × 2,143.82
  4. Step 4: Simplify right side
    5,653.76x = 18,183,575.51
  5. Step 5: Solve for x
    x = 18,183,575.51/5,653.76
  6. Step 6: Final answer
    x = 3,216.19

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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.