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Finding the Fourth Proportional to 3,848.64, 5,772.96 and 3,157.44

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Solution

The fourth proportional to 3,848.64, 5,772.96 and 3,157.44 is: 4,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.64 : 5,772.96 = 3,157.44 : x
  2. Step 2: Convert to fraction form
    3,848.64/5,772.96 = 3,157.44/x
  3. Step 3: Cross multiply
    3,848.64x = 5,772.96 × 3,157.44
  4. Step 4: Simplify right side
    3,848.64x = 18,227,774.82
  5. Step 5: Solve for x
    x = 18,227,774.82/3,848.64
  6. Step 6: Final answer
    x = 4,736.16

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Similar ratio
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1.5x scale

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.