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Finding the Fourth Proportional to 3,898.16, 5,843.48 and 1,299.28

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Solution

The fourth proportional to 3,898.16, 5,843.48 and 1,299.28 is: 1,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.16 : 5,843.48 = 1,299.28 : x
  2. Step 2: Convert to fraction form
    3,898.16/5,843.48 = 1,299.28/x
  3. Step 3: Cross multiply
    3,898.16x = 5,843.48 × 1,299.28
  4. Step 4: Simplify right side
    3,898.16x = 7,592,316.69
  5. Step 5: Solve for x
    x = 7,592,316.69/3,898.16
  6. Step 6: Final answer
    x = 1,947.67

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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.