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Finding the Fourth Proportional to 2,058.35, 3,087.48 and 519.35

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Solution

The fourth proportional to 2,058.35, 3,087.48 and 519.35 is: 779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.35 : 3,087.48 = 519.35 : x
  2. Step 2: Convert to fraction form
    2,058.35/3,087.48 = 519.35/x
  3. Step 3: Cross multiply
    2,058.35x = 3,087.48 × 519.35
  4. Step 4: Simplify right side
    2,058.35x = 1,603,469.25
  5. Step 5: Solve for x
    x = 1,603,469.25/2,058.35
  6. Step 6: Final answer
    x = 779.01

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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.