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Finding the Fourth Proportional to 2,684, 3,703.62 and 1,504.90

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Solution

The fourth proportional to 2,684, 3,703.62 and 1,504.90 is: 2,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 3,703.62 = 1,504.90 : x
  2. Step 2: Convert to fraction form
    2,684/3,703.62 = 1,504.90/x
  3. Step 3: Cross multiply
    2,684x = 3,703.62 × 1,504.90
  4. Step 4: Simplify right side
    2,684x = 5,573,577.74
  5. Step 5: Solve for x
    x = 5,573,577.74/2,684
  6. Step 6: Final answer
    x = 2,076.59

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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.