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Finding the Fourth Proportional to 3,798.34, 5,240.24 and 2,806

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Solution

The fourth proportional to 3,798.34, 5,240.24 and 2,806 is: 3,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.34 : 5,240.24 = 2,806 : x
  2. Step 2: Convert to fraction form
    3,798.34/5,240.24 = 2,806/x
  3. Step 3: Cross multiply
    3,798.34x = 5,240.24 × 2,806
  4. Step 4: Simplify right side
    3,798.34x = 14,704,113.44
  5. Step 5: Solve for x
    x = 14,704,113.44/3,798.34
  6. Step 6: Final answer
    x = 3,871.19

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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.