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Finding the Fourth Proportional to 3,693.12, 5,539.68 and 919.78

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Solution

The fourth proportional to 3,693.12, 5,539.68 and 919.78 is: 1,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.12 : 5,539.68 = 919.78 : x
  2. Step 2: Convert to fraction form
    3,693.12/5,539.68 = 919.78/x
  3. Step 3: Cross multiply
    3,693.12x = 5,539.68 × 919.78
  4. Step 4: Simplify right side
    3,693.12x = 5,095,286.87
  5. Step 5: Solve for x
    x = 5,095,286.87/3,693.12
  6. Step 6: Final answer
    x = 1,379.67

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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.