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Finding the Fourth Proportional to 5,718.56, 7,906.32 and 4,396.64

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Solution

The fourth proportional to 5,718.56, 7,906.32 and 4,396.64 is: 6,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.56 : 7,906.32 = 4,396.64 : x
  2. Step 2: Convert to fraction form
    5,718.56/7,906.32 = 4,396.64/x
  3. Step 3: Cross multiply
    5,718.56x = 7,906.32 × 4,396.64
  4. Step 4: Simplify right side
    5,718.56x = 34,761,242.76
  5. Step 5: Solve for x
    x = 34,761,242.76/5,718.56
  6. Step 6: Final answer
    x = 6,078.67

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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.