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Finding the Fourth Proportional to 4,119.64, 6,178.18 and 1,383

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Solution

The fourth proportional to 4,119.64, 6,178.18 and 1,383 is: 2,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.64 : 6,178.18 = 1,383 : x
  2. Step 2: Convert to fraction form
    4,119.64/6,178.18 = 1,383/x
  3. Step 3: Cross multiply
    4,119.64x = 6,178.18 × 1,383
  4. Step 4: Simplify right side
    4,119.64x = 8,544,422.94
  5. Step 5: Solve for x
    x = 8,544,422.94/4,119.64
  6. Step 6: Final answer
    x = 2,074.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.