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Finding the Fourth Proportional to 5,238.45, 7,848.36 and 2,774.97

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Solution

The fourth proportional to 5,238.45, 7,848.36 and 2,774.97 is: 4,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.45 : 7,848.36 = 2,774.97 : x
  2. Step 2: Convert to fraction form
    5,238.45/7,848.36 = 2,774.97/x
  3. Step 3: Cross multiply
    5,238.45x = 7,848.36 × 2,774.97
  4. Step 4: Simplify right side
    5,238.45x = 21,778,963.55
  5. Step 5: Solve for x
    x = 21,778,963.55/5,238.45
  6. Step 6: Final answer
    x = 4,157.52

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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.