Home / 3,178.49-4,768.26-986.78

Finding the Fourth Proportional to 3,178.49, 4,768.26 and 986.78

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Solution

The fourth proportional to 3,178.49, 4,768.26 and 986.78 is: 1,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.49 : 4,768.26 = 986.78 : x
  2. Step 2: Convert to fraction form
    3,178.49/4,768.26 = 986.78/x
  3. Step 3: Cross multiply
    3,178.49x = 4,768.26 × 986.78
  4. Step 4: Simplify right side
    3,178.49x = 4,705,199.76
  5. Step 5: Solve for x
    x = 4,705,199.76/3,178.49
  6. Step 6: Final answer
    x = 1,480.33

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1.5x scale

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.