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Finding the Fourth Proportional to 3,996, 5,987.52 and 3,559.68

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Solution

The fourth proportional to 3,996, 5,987.52 and 3,559.68 is: 5,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996 : 5,987.52 = 3,559.68 : x
  2. Step 2: Convert to fraction form
    3,996/5,987.52 = 3,559.68/x
  3. Step 3: Cross multiply
    3,996x = 5,987.52 × 3,559.68
  4. Step 4: Simplify right side
    3,996x = 21,313,655.19
  5. Step 5: Solve for x
    x = 21,313,655.19/3,996
  6. Step 6: Final answer
    x = 5,333.75

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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.