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Finding the Fourth Proportional to 3,086.25, 4,259.03 and 1,689

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Solution

The fourth proportional to 3,086.25, 4,259.03 and 1,689 is: 2,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.25 : 4,259.03 = 1,689 : x
  2. Step 2: Convert to fraction form
    3,086.25/4,259.03 = 1,689/x
  3. Step 3: Cross multiply
    3,086.25x = 4,259.03 × 1,689
  4. Step 4: Simplify right side
    3,086.25x = 7,193,493.23
  5. Step 5: Solve for x
    x = 7,193,493.23/3,086.25
  6. Step 6: Final answer
    x = 2,330.82

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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.