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Finding the Fourth Proportional to 5,351.86, 7,383.74 and 3,111.90

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Solution

The fourth proportional to 5,351.86, 7,383.74 and 3,111.90 is: 4,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.86 : 7,383.74 = 3,111.90 : x
  2. Step 2: Convert to fraction form
    5,351.86/7,383.74 = 3,111.90/x
  3. Step 3: Cross multiply
    5,351.86x = 7,383.74 × 3,111.90
  4. Step 4: Simplify right side
    5,351.86x = 22,977,460.51
  5. Step 5: Solve for x
    x = 22,977,460.51/5,351.86
  6. Step 6: Final answer
    x = 4,293.36

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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.