Home / 4,538-6,837.31-4,099.76

Finding the Fourth Proportional to 4,538, 6,837.31 and 4,099.76

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Solution

The fourth proportional to 4,538, 6,837.31 and 4,099.76 is: 6,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538 : 6,837.31 = 4,099.76 : x
  2. Step 2: Convert to fraction form
    4,538/6,837.31 = 4,099.76/x
  3. Step 3: Cross multiply
    4,538x = 6,837.31 × 4,099.76
  4. Step 4: Simplify right side
    4,538x = 28,031,330.05
  5. Step 5: Solve for x
    x = 28,031,330.05/4,538
  6. Step 6: Final answer
    x = 6,177.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.