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Finding the Fourth Proportional to 3,852, 5,316.48 and 2,196

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Solution

The fourth proportional to 3,852, 5,316.48 and 2,196 is: 3,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852 : 5,316.48 = 2,196 : x
  2. Step 2: Convert to fraction form
    3,852/5,316.48 = 2,196/x
  3. Step 3: Cross multiply
    3,852x = 5,316.48 × 2,196
  4. Step 4: Simplify right side
    3,852x = 11,674,990.08
  5. Step 5: Solve for x
    x = 11,674,990.08/3,852
  6. Step 6: Final answer
    x = 3,030.89

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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.