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Finding the Fourth Proportional to 7,057.05, 10,556.42 and 6,415.53

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Solution

The fourth proportional to 7,057.05, 10,556.42 and 6,415.53 is: 9,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.05 : 10,556.42 = 6,415.53 : x
  2. Step 2: Convert to fraction form
    7,057.05/10,556.42 = 6,415.53/x
  3. Step 3: Cross multiply
    7,057.05x = 10,556.42 × 6,415.53
  4. Step 4: Simplify right side
    7,057.05x = 67,724,997.12
  5. Step 5: Solve for x
    x = 67,724,997.12/7,057.05
  6. Step 6: Final answer
    x = 9,596.79

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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.