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Finding the Fourth Proportional to 9,153.84, 13,729.55 and 3,605.75

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Solution

The fourth proportional to 9,153.84, 13,729.55 and 3,605.75 is: 5,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.84 : 13,729.55 = 3,605.75 : x
  2. Step 2: Convert to fraction form
    9,153.84/13,729.55 = 3,605.75/x
  3. Step 3: Cross multiply
    9,153.84x = 13,729.55 × 3,605.75
  4. Step 4: Simplify right side
    9,153.84x = 49,505,238.24
  5. Step 5: Solve for x
    x = 49,505,238.24/9,153.84
  6. Step 6: Final answer
    x = 5,408.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.