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Finding the Fourth Proportional to 2,740, 4,107.12 and 1,644.64

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Solution

The fourth proportional to 2,740, 4,107.12 and 1,644.64 is: 2,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740 : 4,107.12 = 1,644.64 : x
  2. Step 2: Convert to fraction form
    2,740/4,107.12 = 1,644.64/x
  3. Step 3: Cross multiply
    2,740x = 4,107.12 × 1,644.64
  4. Step 4: Simplify right side
    2,740x = 6,754,733.84
  5. Step 5: Solve for x
    x = 6,754,733.84/2,740
  6. Step 6: Final answer
    x = 2,465.23

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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.