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Finding the Fourth Proportional to 13,396.75, 18,490.07 and 7,735.16

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Solution

The fourth proportional to 13,396.75, 18,490.07 and 7,735.16 is: 10,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.75 : 18,490.07 = 7,735.16 : x
  2. Step 2: Convert to fraction form
    13,396.75/18,490.07 = 7,735.16/x
  3. Step 3: Cross multiply
    13,396.75x = 18,490.07 × 7,735.16
  4. Step 4: Simplify right side
    13,396.75x = 143,023,611.19
  5. Step 5: Solve for x
    x = 143,023,611.19/13,396.75
  6. Step 6: Final answer
    x = 10,676.00

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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.