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Finding the Fourth Proportional to 8,468.96, 11,683.42 and 5,111.90

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Solution

The fourth proportional to 8,468.96, 11,683.42 and 5,111.90 is: 7,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.96 : 11,683.42 = 5,111.90 : x
  2. Step 2: Convert to fraction form
    8,468.96/11,683.42 = 5,111.90/x
  3. Step 3: Cross multiply
    8,468.96x = 11,683.42 × 5,111.90
  4. Step 4: Simplify right side
    8,468.96x = 59,724,474.70
  5. Step 5: Solve for x
    x = 59,724,474.70/8,468.96
  6. Step 6: Final answer
    x = 7,052.16

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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.