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Finding the Fourth Proportional to 6,418.40, 9,611.40 and 5,122.40

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Solution

The fourth proportional to 6,418.40, 9,611.40 and 5,122.40 is: 7,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.40 : 9,611.40 = 5,122.40 : x
  2. Step 2: Convert to fraction form
    6,418.40/9,611.40 = 5,122.40/x
  3. Step 3: Cross multiply
    6,418.40x = 9,611.40 × 5,122.40
  4. Step 4: Simplify right side
    6,418.40x = 49,233,435.36
  5. Step 5: Solve for x
    x = 49,233,435.36/6,418.40
  6. Step 6: Final answer
    x = 7,670.67

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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.