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Finding the Fourth Proportional to 3,577, 5,364.90 and 979.94

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Solution

The fourth proportional to 3,577, 5,364.90 and 979.94 is: 1,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577 : 5,364.90 = 979.94 : x
  2. Step 2: Convert to fraction form
    3,577/5,364.90 = 979.94/x
  3. Step 3: Cross multiply
    3,577x = 5,364.90 × 979.94
  4. Step 4: Simplify right side
    3,577x = 5,257,280.11
  5. Step 5: Solve for x
    x = 5,257,280.11/3,577
  6. Step 6: Final answer
    x = 1,469.75

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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.