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Finding the Fourth Proportional to 5,290.54, 7,935.69 and 1,394.93

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Solution

The fourth proportional to 5,290.54, 7,935.69 and 1,394.93 is: 2,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.54 : 7,935.69 = 1,394.93 : x
  2. Step 2: Convert to fraction form
    5,290.54/7,935.69 = 1,394.93/x
  3. Step 3: Cross multiply
    5,290.54x = 7,935.69 × 1,394.93
  4. Step 4: Simplify right side
    5,290.54x = 11,069,732.05
  5. Step 5: Solve for x
    x = 11,069,732.05/5,290.54
  6. Step 6: Final answer
    x = 2,092.36

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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.