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Finding the Fourth Proportional to 2,078.33, 3,117.29 and 539.33

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Solution

The fourth proportional to 2,078.33, 3,117.29 and 539.33 is: 808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.33 : 3,117.29 = 539.33 : x
  2. Step 2: Convert to fraction form
    2,078.33/3,117.29 = 539.33/x
  3. Step 3: Cross multiply
    2,078.33x = 3,117.29 × 539.33
  4. Step 4: Simplify right side
    2,078.33x = 1,681,229.73
  5. Step 5: Solve for x
    x = 1,681,229.73/2,078.33
  6. Step 6: Final answer
    x = 808.93

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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.