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Finding the Fourth Proportional to 5,469.70, 8,209.35 and 4,692.10

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Solution

The fourth proportional to 5,469.70, 8,209.35 and 4,692.10 is: 7,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.70 : 8,209.35 = 4,692.10 : x
  2. Step 2: Convert to fraction form
    5,469.70/8,209.35 = 4,692.10/x
  3. Step 3: Cross multiply
    5,469.70x = 8,209.35 × 4,692.10
  4. Step 4: Simplify right side
    5,469.70x = 38,519,091.14
  5. Step 5: Solve for x
    x = 38,519,091.14/5,469.70
  6. Step 6: Final answer
    x = 7,042.27

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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.