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Finding the Fourth Proportional to 13,157.72, 19,736.12 and 3,297.08

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Solution

The fourth proportional to 13,157.72, 19,736.12 and 3,297.08 is: 4,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.72 : 19,736.12 = 3,297.08 : x
  2. Step 2: Convert to fraction form
    13,157.72/19,736.12 = 3,297.08/x
  3. Step 3: Cross multiply
    13,157.72x = 19,736.12 × 3,297.08
  4. Step 4: Simplify right side
    13,157.72x = 65,071,566.53
  5. Step 5: Solve for x
    x = 65,071,566.53/13,157.72
  6. Step 6: Final answer
    x = 4,945.50

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Why These Related Problems?

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