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Finding the Fourth Proportional to 2,970.73, 4,099.19 and 1,644.42

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Solution

The fourth proportional to 2,970.73, 4,099.19 and 1,644.42 is: 2,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.73 : 4,099.19 = 1,644.42 : x
  2. Step 2: Convert to fraction form
    2,970.73/4,099.19 = 1,644.42/x
  3. Step 3: Cross multiply
    2,970.73x = 4,099.19 × 1,644.42
  4. Step 4: Simplify right side
    2,970.73x = 6,740,790.02
  5. Step 5: Solve for x
    x = 6,740,790.02/2,970.73
  6. Step 6: Final answer
    x = 2,269.07

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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.