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Finding the Fourth Proportional to 2,902.74, 4,005.90 and 1,644

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Solution

The fourth proportional to 2,902.74, 4,005.90 and 1,644 is: 2,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.74 : 4,005.90 = 1,644 : x
  2. Step 2: Convert to fraction form
    2,902.74/4,005.90 = 1,644/x
  3. Step 3: Cross multiply
    2,902.74x = 4,005.90 × 1,644
  4. Step 4: Simplify right side
    2,902.74x = 6,585,699.60
  5. Step 5: Solve for x
    x = 6,585,699.60/2,902.74
  6. Step 6: Final answer
    x = 2,268.79

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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.