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Finding the Fourth Proportional to 7,664.10, 11,496.15 and 2,920.20

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Solution

The fourth proportional to 7,664.10, 11,496.15 and 2,920.20 is: 4,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.10 : 11,496.15 = 2,920.20 : x
  2. Step 2: Convert to fraction form
    7,664.10/11,496.15 = 2,920.20/x
  3. Step 3: Cross multiply
    7,664.10x = 11,496.15 × 2,920.20
  4. Step 4: Simplify right side
    7,664.10x = 33,571,057.23
  5. Step 5: Solve for x
    x = 33,571,057.23/7,664.10
  6. Step 6: Final answer
    x = 4,380.30

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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.