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Finding the Fourth Proportional to 4,196, 5,790.48 and 2,333

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Solution

The fourth proportional to 4,196, 5,790.48 and 2,333 is: 3,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196 : 5,790.48 = 2,333 : x
  2. Step 2: Convert to fraction form
    4,196/5,790.48 = 2,333/x
  3. Step 3: Cross multiply
    4,196x = 5,790.48 × 2,333
  4. Step 4: Simplify right side
    4,196x = 13,509,189.84
  5. Step 5: Solve for x
    x = 13,509,189.84/4,196
  6. Step 6: Final answer
    x = 3,219.54

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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.