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Finding the Fourth Proportional to 5,120.80, 7,071.12 and 4,429.60

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Solution

The fourth proportional to 5,120.80, 7,071.12 and 4,429.60 is: 6,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.80 : 7,071.12 = 4,429.60 : x
  2. Step 2: Convert to fraction form
    5,120.80/7,071.12 = 4,429.60/x
  3. Step 3: Cross multiply
    5,120.80x = 7,071.12 × 4,429.60
  4. Step 4: Simplify right side
    5,120.80x = 31,322,233.15
  5. Step 5: Solve for x
    x = 31,322,233.15/5,120.80
  6. Step 6: Final answer
    x = 6,116.67

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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.