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Finding the Fourth Proportional to 4,844, 6,684.80 and 2,636

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Solution

The fourth proportional to 4,844, 6,684.80 and 2,636 is: 3,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844 : 6,684.80 = 2,636 : x
  2. Step 2: Convert to fraction form
    4,844/6,684.80 = 2,636/x
  3. Step 3: Cross multiply
    4,844x = 6,684.80 × 2,636
  4. Step 4: Simplify right side
    4,844x = 17,621,132.80
  5. Step 5: Solve for x
    x = 17,621,132.80/4,844
  6. Step 6: Final answer
    x = 3,637.72

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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.