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Finding the Fourth Proportional to 7,770.26, 11,656.89 and 3,092.45

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Solution

The fourth proportional to 7,770.26, 11,656.89 and 3,092.45 is: 4,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.26 : 11,656.89 = 3,092.45 : x
  2. Step 2: Convert to fraction form
    7,770.26/11,656.89 = 3,092.45/x
  3. Step 3: Cross multiply
    7,770.26x = 11,656.89 × 3,092.45
  4. Step 4: Simplify right side
    7,770.26x = 36,048,291.20
  5. Step 5: Solve for x
    x = 36,048,291.20/7,770.26
  6. Step 6: Final answer
    x = 4,639.26

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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.