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Finding the Fourth Proportional to 3,893.96, 5,840.86 and 972.22

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Solution

The fourth proportional to 3,893.96, 5,840.86 and 972.22 is: 1,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.96 : 5,840.86 = 972.22 : x
  2. Step 2: Convert to fraction form
    3,893.96/5,840.86 = 972.22/x
  3. Step 3: Cross multiply
    3,893.96x = 5,840.86 × 972.22
  4. Step 4: Simplify right side
    3,893.96x = 5,678,600.91
  5. Step 5: Solve for x
    x = 5,678,600.91/3,893.96
  6. Step 6: Final answer
    x = 1,458.31

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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.