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Finding the Fourth Proportional to 2,078.38, 3,117.57 and 539.38

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Solution

The fourth proportional to 2,078.38, 3,117.57 and 539.38 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.38 : 3,117.57 = 539.38 : x
  2. Step 2: Convert to fraction form
    2,078.38/3,117.57 = 539.38/x
  3. Step 3: Cross multiply
    2,078.38x = 3,117.57 × 539.38
  4. Step 4: Simplify right side
    2,078.38x = 1,681,536.62
  5. Step 5: Solve for x
    x = 1,681,536.62/2,078.38
  6. Step 6: Final answer
    x = 809.06

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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.