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Finding the Fourth Proportional to 5,978.98, 8,251.77 and 3,621.16

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Solution

The fourth proportional to 5,978.98, 8,251.77 and 3,621.16 is: 4,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.98 : 8,251.77 = 3,621.16 : x
  2. Step 2: Convert to fraction form
    5,978.98/8,251.77 = 3,621.16/x
  3. Step 3: Cross multiply
    5,978.98x = 8,251.77 × 3,621.16
  4. Step 4: Simplify right side
    5,978.98x = 29,880,979.45
  5. Step 5: Solve for x
    x = 29,880,979.45/5,978.98
  6. Step 6: Final answer
    x = 4,997.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.