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Finding the Fourth Proportional to 5,898.26, 8,142.96 and 3,911.51

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Solution

The fourth proportional to 5,898.26, 8,142.96 and 3,911.51 is: 5,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.26 : 8,142.96 = 3,911.51 : x
  2. Step 2: Convert to fraction form
    5,898.26/8,142.96 = 3,911.51/x
  3. Step 3: Cross multiply
    5,898.26x = 8,142.96 × 3,911.51
  4. Step 4: Simplify right side
    5,898.26x = 31,851,228.75
  5. Step 5: Solve for x
    x = 31,851,228.75/5,898.26
  6. Step 6: Final answer
    x = 5,400.11

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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.