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Finding the Fourth Proportional to 3,798.68, 5,698 and 1,025.28

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Solution

The fourth proportional to 3,798.68, 5,698 and 1,025.28 is: 1,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.68 : 5,698 = 1,025.28 : x
  2. Step 2: Convert to fraction form
    3,798.68/5,698 = 1,025.28/x
  3. Step 3: Cross multiply
    3,798.68x = 5,698 × 1,025.28
  4. Step 4: Simplify right side
    3,798.68x = 5,842,045.44
  5. Step 5: Solve for x
    x = 5,842,045.44/3,798.68
  6. Step 6: Final answer
    x = 1,537.91

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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.