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Finding the Fourth Proportional to 7,628, 11,440.65 and 3,467.03

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Solution

The fourth proportional to 7,628, 11,440.65 and 3,467.03 is: 5,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628 : 11,440.65 = 3,467.03 : x
  2. Step 2: Convert to fraction form
    7,628/11,440.65 = 3,467.03/x
  3. Step 3: Cross multiply
    7,628x = 11,440.65 × 3,467.03
  4. Step 4: Simplify right side
    7,628x = 39,665,076.77
  5. Step 5: Solve for x
    x = 39,665,076.77/7,628
  6. Step 6: Final answer
    x = 5,199.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.