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Finding the Fourth Proportional to 8,048.70, 12,105.45 and 7,206.30

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Solution

The fourth proportional to 8,048.70, 12,105.45 and 7,206.30 is: 10,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.70 : 12,105.45 = 7,206.30 : x
  2. Step 2: Convert to fraction form
    8,048.70/12,105.45 = 7,206.30/x
  3. Step 3: Cross multiply
    8,048.70x = 12,105.45 × 7,206.30
  4. Step 4: Simplify right side
    8,048.70x = 87,235,504.34
  5. Step 5: Solve for x
    x = 87,235,504.34/8,048.70
  6. Step 6: Final answer
    x = 10,838.46

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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.