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Finding the Fourth Proportional to 3,394.81, 5,086.72 and 1,935.01

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Solution

The fourth proportional to 3,394.81, 5,086.72 and 1,935.01 is: 2,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.81 : 5,086.72 = 1,935.01 : x
  2. Step 2: Convert to fraction form
    3,394.81/5,086.72 = 1,935.01/x
  3. Step 3: Cross multiply
    3,394.81x = 5,086.72 × 1,935.01
  4. Step 4: Simplify right side
    3,394.81x = 9,842,854.07
  5. Step 5: Solve for x
    x = 9,842,854.07/3,394.81
  6. Step 6: Final answer
    x = 2,899.38

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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.