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Finding the Fourth Proportional to 2,058.16, 3,087.65 and 671.49

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Solution

The fourth proportional to 2,058.16, 3,087.65 and 671.49 is: 1,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.16 : 3,087.65 = 671.49 : x
  2. Step 2: Convert to fraction form
    2,058.16/3,087.65 = 671.49/x
  3. Step 3: Cross multiply
    2,058.16x = 3,087.65 × 671.49
  4. Step 4: Simplify right side
    2,058.16x = 2,073,327.78
  5. Step 5: Solve for x
    x = 2,073,327.78/2,058.16
  6. Step 6: Final answer
    x = 1,007.37

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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.