Home / 4,178-5,765.76-2,315.12

Finding the Fourth Proportional to 4,178, 5,765.76 and 2,315.12

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Solution

The fourth proportional to 4,178, 5,765.76 and 2,315.12 is: 3,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178 : 5,765.76 = 2,315.12 : x
  2. Step 2: Convert to fraction form
    4,178/5,765.76 = 2,315.12/x
  3. Step 3: Cross multiply
    4,178x = 5,765.76 × 2,315.12
  4. Step 4: Simplify right side
    4,178x = 13,348,426.29
  5. Step 5: Solve for x
    x = 13,348,426.29/4,178
  6. Step 6: Final answer
    x = 3,194.93

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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.