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Finding the Fourth Proportional to 6,516.54, 8,990.64 and 3,683.57

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Solution

The fourth proportional to 6,516.54, 8,990.64 and 3,683.57 is: 5,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.54 : 8,990.64 = 3,683.57 : x
  2. Step 2: Convert to fraction form
    6,516.54/8,990.64 = 3,683.57/x
  3. Step 3: Cross multiply
    6,516.54x = 8,990.64 × 3,683.57
  4. Step 4: Simplify right side
    6,516.54x = 33,117,606.83
  5. Step 5: Solve for x
    x = 33,117,606.83/6,516.54
  6. Step 6: Final answer
    x = 5,082.08

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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.