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Finding the Fourth Proportional to 4,836, 7,254 and 2,100

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Solution

The fourth proportional to 4,836, 7,254 and 2,100 is: 3,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836 : 7,254 = 2,100 : x
  2. Step 2: Convert to fraction form
    4,836/7,254 = 2,100/x
  3. Step 3: Cross multiply
    4,836x = 7,254 × 2,100
  4. Step 4: Simplify right side
    4,836x = 15,233,400
  5. Step 5: Solve for x
    x = 15,233,400/4,836
  6. Step 6: Final answer
    x = 3,150

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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.