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Finding the Fourth Proportional to 3,984.95, 5,971.95 and 2,521.49

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Solution

The fourth proportional to 3,984.95, 5,971.95 and 2,521.49 is: 3,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.95 : 5,971.95 = 2,521.49 : x
  2. Step 2: Convert to fraction form
    3,984.95/5,971.95 = 2,521.49/x
  3. Step 3: Cross multiply
    3,984.95x = 5,971.95 × 2,521.49
  4. Step 4: Simplify right side
    3,984.95x = 15,058,182.35
  5. Step 5: Solve for x
    x = 15,058,182.35/3,984.95
  6. Step 6: Final answer
    x = 3,778.77

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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.