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Finding the Fourth Proportional to 3,798.18, 5,698.18 and 1,458.21

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Solution

The fourth proportional to 3,798.18, 5,698.18 and 1,458.21 is: 2,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.18 : 5,698.18 = 1,458.21 : x
  2. Step 2: Convert to fraction form
    3,798.18/5,698.18 = 1,458.21/x
  3. Step 3: Cross multiply
    3,798.18x = 5,698.18 × 1,458.21
  4. Step 4: Simplify right side
    3,798.18x = 8,309,114.57
  5. Step 5: Solve for x
    x = 8,309,114.57/3,798.18
  6. Step 6: Final answer
    x = 2,187.66

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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.