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Finding the Fourth Proportional to 3,852, 5,315.44 and 2,173.80

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Solution

The fourth proportional to 3,852, 5,315.44 and 2,173.80 is: 2,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852 : 5,315.44 = 2,173.80 : x
  2. Step 2: Convert to fraction form
    3,852/5,315.44 = 2,173.80/x
  3. Step 3: Cross multiply
    3,852x = 5,315.44 × 2,173.80
  4. Step 4: Simplify right side
    3,852x = 11,554,703.47
  5. Step 5: Solve for x
    x = 11,554,703.47/3,852
  6. Step 6: Final answer
    x = 2,999.66

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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.