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Finding the Fourth Proportional to 2,058.04, 3,087.02 and 519

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Solution

The fourth proportional to 2,058.04, 3,087.02 and 519 is: 778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.04 : 3,087.02 = 519 : x
  2. Step 2: Convert to fraction form
    2,058.04/3,087.02 = 519/x
  3. Step 3: Cross multiply
    2,058.04x = 3,087.02 × 519
  4. Step 4: Simplify right side
    2,058.04x = 1,602,163.38
  5. Step 5: Solve for x
    x = 1,602,163.38/2,058.04
  6. Step 6: Final answer
    x = 778.49

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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.