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Finding the Fourth Proportional to 4,848, 7,272 and 1,200

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Solution

The fourth proportional to 4,848, 7,272 and 1,200 is: 1,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848 : 7,272 = 1,200 : x
  2. Step 2: Convert to fraction form
    4,848/7,272 = 1,200/x
  3. Step 3: Cross multiply
    4,848x = 7,272 × 1,200
  4. Step 4: Simplify right side
    4,848x = 8,726,400
  5. Step 5: Solve for x
    x = 8,726,400/4,848
  6. Step 6: Final answer
    x = 1,800

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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.