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Finding the Fourth Proportional to 4,511, 6,225.78 and 2,648

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Solution

The fourth proportional to 4,511, 6,225.78 and 2,648 is: 3,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511 : 6,225.78 = 2,648 : x
  2. Step 2: Convert to fraction form
    4,511/6,225.78 = 2,648/x
  3. Step 3: Cross multiply
    4,511x = 6,225.78 × 2,648
  4. Step 4: Simplify right side
    4,511x = 16,485,865.44
  5. Step 5: Solve for x
    x = 16,485,865.44/4,511
  6. Step 6: Final answer
    x = 3,654.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.