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Finding the Fourth Proportional to 7,632.78, 10,539.75 and 5,741.09

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Solution

The fourth proportional to 7,632.78, 10,539.75 and 5,741.09 is: 7,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.78 : 10,539.75 = 5,741.09 : x
  2. Step 2: Convert to fraction form
    7,632.78/10,539.75 = 5,741.09/x
  3. Step 3: Cross multiply
    7,632.78x = 10,539.75 × 5,741.09
  4. Step 4: Simplify right side
    7,632.78x = 60,509,653.33
  5. Step 5: Solve for x
    x = 60,509,653.33/7,632.78
  6. Step 6: Final answer
    x = 7,927.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.