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Finding the Fourth Proportional to 3,993.04, 5,988.48 and 1,684

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Solution

The fourth proportional to 3,993.04, 5,988.48 and 1,684 is: 2,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.04 : 5,988.48 = 1,684 : x
  2. Step 2: Convert to fraction form
    3,993.04/5,988.48 = 1,684/x
  3. Step 3: Cross multiply
    3,993.04x = 5,988.48 × 1,684
  4. Step 4: Simplify right side
    3,993.04x = 10,084,600.32
  5. Step 5: Solve for x
    x = 10,084,600.32/3,993.04
  6. Step 6: Final answer
    x = 2,525.54

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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.