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Finding the Fourth Proportional to 11,410.44, 15,739.62 and 7,211.40

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Solution

The fourth proportional to 11,410.44, 15,739.62 and 7,211.40 is: 9,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.44 : 15,739.62 = 7,211.40 : x
  2. Step 2: Convert to fraction form
    11,410.44/15,739.62 = 7,211.40/x
  3. Step 3: Cross multiply
    11,410.44x = 15,739.62 × 7,211.40
  4. Step 4: Simplify right side
    11,410.44x = 113,504,695.67
  5. Step 5: Solve for x
    x = 113,504,695.67/11,410.44
  6. Step 6: Final answer
    x = 9,947.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.