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Finding the Fourth Proportional to 3,652.92, 5,478.30 and 3,068.10

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Solution

The fourth proportional to 3,652.92, 5,478.30 and 3,068.10 is: 4,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.92 : 5,478.30 = 3,068.10 : x
  2. Step 2: Convert to fraction form
    3,652.92/5,478.30 = 3,068.10/x
  3. Step 3: Cross multiply
    3,652.92x = 5,478.30 × 3,068.10
  4. Step 4: Simplify right side
    3,652.92x = 16,807,972.23
  5. Step 5: Solve for x
    x = 16,807,972.23/3,652.92
  6. Step 6: Final answer
    x = 4,601.24

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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.