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Finding the Fourth Proportional to 5,289.93, 7,935.71 and 1,394.64

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Solution

The fourth proportional to 5,289.93, 7,935.71 and 1,394.64 is: 2,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.93 : 7,935.71 = 1,394.64 : x
  2. Step 2: Convert to fraction form
    5,289.93/7,935.71 = 1,394.64/x
  3. Step 3: Cross multiply
    5,289.93x = 7,935.71 × 1,394.64
  4. Step 4: Simplify right side
    5,289.93x = 11,067,451.62
  5. Step 5: Solve for x
    x = 11,067,451.62/5,289.93
  6. Step 6: Final answer
    x = 2,092.17

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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.