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Finding the Fourth Proportional to 13,735.62, 20,599.38 and 7,158.42

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Solution

The fourth proportional to 13,735.62, 20,599.38 and 7,158.42 is: 10,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.62 : 20,599.38 = 7,158.42 : x
  2. Step 2: Convert to fraction form
    13,735.62/20,599.38 = 7,158.42/x
  3. Step 3: Cross multiply
    13,735.62x = 20,599.38 × 7,158.42
  4. Step 4: Simplify right side
    13,735.62x = 147,459,013.78
  5. Step 5: Solve for x
    x = 147,459,013.78/13,735.62
  6. Step 6: Final answer
    x = 10,735.52

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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.