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Finding the Fourth Proportional to 2,788, 3,847.44 and 1,684

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Solution

The fourth proportional to 2,788, 3,847.44 and 1,684 is: 2,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788 : 3,847.44 = 1,684 : x
  2. Step 2: Convert to fraction form
    2,788/3,847.44 = 1,684/x
  3. Step 3: Cross multiply
    2,788x = 3,847.44 × 1,684
  4. Step 4: Simplify right side
    2,788x = 6,479,088.96
  5. Step 5: Solve for x
    x = 6,479,088.96/2,788
  6. Step 6: Final answer
    x = 2,323.92

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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.