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Finding the Fourth Proportional to 13,697.50, 18,902.56 and 7,730.44

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Solution

The fourth proportional to 13,697.50, 18,902.56 and 7,730.44 is: 10,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.50 : 18,902.56 = 7,730.44 : x
  2. Step 2: Convert to fraction form
    13,697.50/18,902.56 = 7,730.44/x
  3. Step 3: Cross multiply
    13,697.50x = 18,902.56 × 7,730.44
  4. Step 4: Simplify right side
    13,697.50x = 146,125,105.93
  5. Step 5: Solve for x
    x = 146,125,105.93/13,697.50
  6. Step 6: Final answer
    x = 10,668.01

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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.