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Finding the Fourth Proportional to 5,599.62, 8,380.80 and 3,840.30

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Solution

The fourth proportional to 5,599.62, 8,380.80 and 3,840.30 is: 5,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.62 : 8,380.80 = 3,840.30 : x
  2. Step 2: Convert to fraction form
    5,599.62/8,380.80 = 3,840.30/x
  3. Step 3: Cross multiply
    5,599.62x = 8,380.80 × 3,840.30
  4. Step 4: Simplify right side
    5,599.62x = 32,184,786.24
  5. Step 5: Solve for x
    x = 32,184,786.24/5,599.62
  6. Step 6: Final answer
    x = 5,747.67

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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.