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Finding the Fourth Proportional to 4,178, 5,765.82 and 2,315

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Solution

The fourth proportional to 4,178, 5,765.82 and 2,315 is: 3,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178 : 5,765.82 = 2,315 : x
  2. Step 2: Convert to fraction form
    4,178/5,765.82 = 2,315/x
  3. Step 3: Cross multiply
    4,178x = 5,765.82 × 2,315
  4. Step 4: Simplify right side
    4,178x = 13,347,873.30
  5. Step 5: Solve for x
    x = 13,347,873.30/4,178
  6. Step 6: Final answer
    x = 3,194.80

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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.