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Finding the Fourth Proportional to 7,738, 11,607.16 and 2,266

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Solution

The fourth proportional to 7,738, 11,607.16 and 2,266 is: 3,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738 : 11,607.16 = 2,266 : x
  2. Step 2: Convert to fraction form
    7,738/11,607.16 = 2,266/x
  3. Step 3: Cross multiply
    7,738x = 11,607.16 × 2,266
  4. Step 4: Simplify right side
    7,738x = 26,301,824.56
  5. Step 5: Solve for x
    x = 26,301,824.56/7,738
  6. Step 6: Final answer
    x = 3,399.05

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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.