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Finding the Fourth Proportional to 7,740, 11,610.16 and 2,268

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Solution

The fourth proportional to 7,740, 11,610.16 and 2,268 is: 3,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740 : 11,610.16 = 2,268 : x
  2. Step 2: Convert to fraction form
    7,740/11,610.16 = 2,268/x
  3. Step 3: Cross multiply
    7,740x = 11,610.16 × 2,268
  4. Step 4: Simplify right side
    7,740x = 26,331,842.88
  5. Step 5: Solve for x
    x = 26,331,842.88/7,740
  6. Step 6: Final answer
    x = 3,402.05

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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.