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Finding the Fourth Proportional to 4,828, 6,662.72 and 2,620

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Solution

The fourth proportional to 4,828, 6,662.72 and 2,620 is: 3,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828 : 6,662.72 = 2,620 : x
  2. Step 2: Convert to fraction form
    4,828/6,662.72 = 2,620/x
  3. Step 3: Cross multiply
    4,828x = 6,662.72 × 2,620
  4. Step 4: Simplify right side
    4,828x = 17,456,326.40
  5. Step 5: Solve for x
    x = 17,456,326.40/4,828
  6. Step 6: Final answer
    x = 3,615.64

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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.