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Finding the Fourth Proportional to 3,848, 5,297.28 and 3,454.88

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Solution

The fourth proportional to 3,848, 5,297.28 and 3,454.88 is: 4,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848 : 5,297.28 = 3,454.88 : x
  2. Step 2: Convert to fraction form
    3,848/5,297.28 = 3,454.88/x
  3. Step 3: Cross multiply
    3,848x = 5,297.28 × 3,454.88
  4. Step 4: Simplify right side
    3,848x = 18,301,466.73
  5. Step 5: Solve for x
    x = 18,301,466.73/3,848
  6. Step 6: Final answer
    x = 4,756.10

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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.