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Finding the Fourth Proportional to 3,993.76, 5,983.14 and 2,345.38

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Solution

The fourth proportional to 3,993.76, 5,983.14 and 2,345.38 is: 3,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.76 : 5,983.14 = 2,345.38 : x
  2. Step 2: Convert to fraction form
    3,993.76/5,983.14 = 2,345.38/x
  3. Step 3: Cross multiply
    3,993.76x = 5,983.14 × 2,345.38
  4. Step 4: Simplify right side
    3,993.76x = 14,032,736.89
  5. Step 5: Solve for x
    x = 14,032,736.89/3,993.76
  6. Step 6: Final answer
    x = 3,513.67

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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.