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Finding the Fourth Proportional to 6,469.70, 9,692.13 and 3,688.16

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Solution

The fourth proportional to 6,469.70, 9,692.13 and 3,688.16 is: 5,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.70 : 9,692.13 = 3,688.16 : x
  2. Step 2: Convert to fraction form
    6,469.70/9,692.13 = 3,688.16/x
  3. Step 3: Cross multiply
    6,469.70x = 9,692.13 × 3,688.16
  4. Step 4: Simplify right side
    6,469.70x = 35,746,126.18
  5. Step 5: Solve for x
    x = 35,746,126.18/6,469.70
  6. Step 6: Final answer
    x = 5,525.16

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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.