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Finding the Fourth Proportional to 6,687.74, 9,219.47 and 4,692.11

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Solution

The fourth proportional to 6,687.74, 9,219.47 and 4,692.11 is: 6,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.74 : 9,219.47 = 4,692.11 : x
  2. Step 2: Convert to fraction form
    6,687.74/9,219.47 = 4,692.11/x
  3. Step 3: Cross multiply
    6,687.74x = 9,219.47 × 4,692.11
  4. Step 4: Simplify right side
    6,687.74x = 43,258,743.92
  5. Step 5: Solve for x
    x = 43,258,743.92/6,687.74
  6. Step 6: Final answer
    x = 6,468.37

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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.