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Finding the Fourth Proportional to 3,539.82, 4,884.82 and 1,968.02

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Solution

The fourth proportional to 3,539.82, 4,884.82 and 1,968.02 is: 2,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.82 : 4,884.82 = 1,968.02 : x
  2. Step 2: Convert to fraction form
    3,539.82/4,884.82 = 1,968.02/x
  3. Step 3: Cross multiply
    3,539.82x = 4,884.82 × 1,968.02
  4. Step 4: Simplify right side
    3,539.82x = 9,613,419.81
  5. Step 5: Solve for x
    x = 9,613,419.81/3,539.82
  6. Step 6: Final answer
    x = 2,715.79

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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.