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Finding the Fourth Proportional to 5,181.42, 7,148.42 and 3,319.50

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Solution

The fourth proportional to 5,181.42, 7,148.42 and 3,319.50 is: 4,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.42 : 7,148.42 = 3,319.50 : x
  2. Step 2: Convert to fraction form
    5,181.42/7,148.42 = 3,319.50/x
  3. Step 3: Cross multiply
    5,181.42x = 7,148.42 × 3,319.50
  4. Step 4: Simplify right side
    5,181.42x = 23,729,180.19
  5. Step 5: Solve for x
    x = 23,729,180.19/5,181.42
  6. Step 6: Final answer
    x = 4,579.67

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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.