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Finding the Fourth Proportional to 5,986.80, 8,974.08 and 4,039.20

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Solution

The fourth proportional to 5,986.80, 8,974.08 and 4,039.20 is: 6,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.80 : 8,974.08 = 4,039.20 : x
  2. Step 2: Convert to fraction form
    5,986.80/8,974.08 = 4,039.20/x
  3. Step 3: Cross multiply
    5,986.80x = 8,974.08 × 4,039.20
  4. Step 4: Simplify right side
    5,986.80x = 36,248,103.94
  5. Step 5: Solve for x
    x = 36,248,103.94/5,986.80
  6. Step 6: Final answer
    x = 6,054.67

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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.