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Finding the Fourth Proportional to 2,078.31, 3,117.41 and 539.31

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Solution

The fourth proportional to 2,078.31, 3,117.41 and 539.31 is: 808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.31 : 3,117.41 = 539.31 : x
  2. Step 2: Convert to fraction form
    2,078.31/3,117.41 = 539.31/x
  3. Step 3: Cross multiply
    2,078.31x = 3,117.41 × 539.31
  4. Step 4: Simplify right side
    2,078.31x = 1,681,247.69
  5. Step 5: Solve for x
    x = 1,681,247.69/2,078.31
  6. Step 6: Final answer
    x = 808.95

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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.