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Finding the Fourth Proportional to 6,647.00, 9,954 and 3,865.23

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Solution

The fourth proportional to 6,647.00, 9,954 and 3,865.23 is: 5,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.00 : 9,954 = 3,865.23 : x
  2. Step 2: Convert to fraction form
    6,647.00/9,954 = 3,865.23/x
  3. Step 3: Cross multiply
    6,647.00x = 9,954 × 3,865.23
  4. Step 4: Simplify right side
    6,647.00x = 38,474,499.42
  5. Step 5: Solve for x
    x = 38,474,499.42/6,647.00
  6. Step 6: Final answer
    x = 5,788.25

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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.