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Finding the Fourth Proportional to 3,841.44, 5,762.16 and 3,156

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Solution

The fourth proportional to 3,841.44, 5,762.16 and 3,156 is: 4,734

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.44 : 5,762.16 = 3,156 : x
  2. Step 2: Convert to fraction form
    3,841.44/5,762.16 = 3,156/x
  3. Step 3: Cross multiply
    3,841.44x = 5,762.16 × 3,156
  4. Step 4: Simplify right side
    3,841.44x = 18,185,376.96
  5. Step 5: Solve for x
    x = 18,185,376.96/3,841.44
  6. Step 6: Final answer
    x = 4,734

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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.