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Finding the Fourth Proportional to 13,175.20, 19,762.83 and 3,314.42

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Solution

The fourth proportional to 13,175.20, 19,762.83 and 3,314.42 is: 4,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.20 : 19,762.83 = 3,314.42 : x
  2. Step 2: Convert to fraction form
    13,175.20/19,762.83 = 3,314.42/x
  3. Step 3: Cross multiply
    13,175.20x = 19,762.83 × 3,314.42
  4. Step 4: Simplify right side
    13,175.20x = 65,502,203.62
  5. Step 5: Solve for x
    x = 65,502,203.62/13,175.20
  6. Step 6: Final answer
    x = 4,971.63

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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.