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Finding the Fourth Proportional to 6,156.13, 8,494.33 and 3,638.65

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Solution

The fourth proportional to 6,156.13, 8,494.33 and 3,638.65 is: 5,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.13 : 8,494.33 = 3,638.65 : x
  2. Step 2: Convert to fraction form
    6,156.13/8,494.33 = 3,638.65/x
  3. Step 3: Cross multiply
    6,156.13x = 8,494.33 × 3,638.65
  4. Step 4: Simplify right side
    6,156.13x = 30,907,893.85
  5. Step 5: Solve for x
    x = 30,907,893.85/6,156.13
  6. Step 6: Final answer
    x = 5,020.67

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1.5x scale

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.