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Finding the Fourth Proportional to 3,644.98, 5,470.14 and 1,424.14

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Solution

The fourth proportional to 3,644.98, 5,470.14 and 1,424.14 is: 2,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.98 : 5,470.14 = 1,424.14 : x
  2. Step 2: Convert to fraction form
    3,644.98/5,470.14 = 1,424.14/x
  3. Step 3: Cross multiply
    3,644.98x = 5,470.14 × 1,424.14
  4. Step 4: Simplify right side
    3,644.98x = 7,790,245.18
  5. Step 5: Solve for x
    x = 7,790,245.18/3,644.98
  6. Step 6: Final answer
    x = 2,137.25

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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.