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Finding the Fourth Proportional to 2,078.88, 3,118.31 and 539.88

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Solution

The fourth proportional to 2,078.88, 3,118.31 and 539.88 is: 809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.88 : 3,118.31 = 539.88 : x
  2. Step 2: Convert to fraction form
    2,078.88/3,118.31 = 539.88/x
  3. Step 3: Cross multiply
    2,078.88x = 3,118.31 × 539.88
  4. Step 4: Simplify right side
    2,078.88x = 1,683,513.20
  5. Step 5: Solve for x
    x = 1,683,513.20/2,078.88
  6. Step 6: Final answer
    x = 809.82

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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.