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Finding the Fourth Proportional to 7,638, 11,460.84 and 2,961.22

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Solution

The fourth proportional to 7,638, 11,460.84 and 2,961.22 is: 4,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638 : 11,460.84 = 2,961.22 : x
  2. Step 2: Convert to fraction form
    7,638/11,460.84 = 2,961.22/x
  3. Step 3: Cross multiply
    7,638x = 11,460.84 × 2,961.22
  4. Step 4: Simplify right side
    7,638x = 33,938,068.62
  5. Step 5: Solve for x
    x = 33,938,068.62/7,638
  6. Step 6: Final answer
    x = 4,443.32

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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.