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Finding the Fourth Proportional to 3,651.40, 5,474.40 and 1,458.46

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Solution

The fourth proportional to 3,651.40, 5,474.40 and 1,458.46 is: 2,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.40 : 5,474.40 = 1,458.46 : x
  2. Step 2: Convert to fraction form
    3,651.40/5,474.40 = 1,458.46/x
  3. Step 3: Cross multiply
    3,651.40x = 5,474.40 × 1,458.46
  4. Step 4: Simplify right side
    3,651.40x = 7,984,193.42
  5. Step 5: Solve for x
    x = 7,984,193.42/3,651.40
  6. Step 6: Final answer
    x = 2,186.61

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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.