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Finding the Fourth Proportional to 5,051.96, 6,969.78 and 3,728.82

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Solution

The fourth proportional to 5,051.96, 6,969.78 and 3,728.82 is: 5,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.96 : 6,969.78 = 3,728.82 : x
  2. Step 2: Convert to fraction form
    5,051.96/6,969.78 = 3,728.82/x
  3. Step 3: Cross multiply
    5,051.96x = 6,969.78 × 3,728.82
  4. Step 4: Simplify right side
    5,051.96x = 25,989,055.06
  5. Step 5: Solve for x
    x = 25,989,055.06/5,051.96
  6. Step 6: Final answer
    x = 5,144.35

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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.