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Finding the Fourth Proportional to 3,178.72, 4,768.39 and 986.86

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Solution

The fourth proportional to 3,178.72, 4,768.39 and 986.86 is: 1,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.72 : 4,768.39 = 986.86 : x
  2. Step 2: Convert to fraction form
    3,178.72/4,768.39 = 986.86/x
  3. Step 3: Cross multiply
    3,178.72x = 4,768.39 × 986.86
  4. Step 4: Simplify right side
    3,178.72x = 4,705,747.74
  5. Step 5: Solve for x
    x = 4,705,747.74/3,178.72
  6. Step 6: Final answer
    x = 1,480.39

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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.