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Finding the Fourth Proportional to 7,577.77, 11,366.62 and 3,412.90

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Solution

The fourth proportional to 7,577.77, 11,366.62 and 3,412.90 is: 5,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.77 : 11,366.62 = 3,412.90 : x
  2. Step 2: Convert to fraction form
    7,577.77/11,366.62 = 3,412.90/x
  3. Step 3: Cross multiply
    7,577.77x = 11,366.62 × 3,412.90
  4. Step 4: Simplify right side
    7,577.77x = 38,793,080.56
  5. Step 5: Solve for x
    x = 38,793,080.56/7,577.77
  6. Step 6: Final answer
    x = 5,119.33

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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.