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Finding the Fourth Proportional to 7,003, 9,664.68 and 4,912.12

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Solution

The fourth proportional to 7,003, 9,664.68 and 4,912.12 is: 6,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003 : 9,664.68 = 4,912.12 : x
  2. Step 2: Convert to fraction form
    7,003/9,664.68 = 4,912.12/x
  3. Step 3: Cross multiply
    7,003x = 9,664.68 × 4,912.12
  4. Step 4: Simplify right side
    7,003x = 47,474,067.92
  5. Step 5: Solve for x
    x = 47,474,067.92/7,003
  6. Step 6: Final answer
    x = 6,779.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.