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Finding the Fourth Proportional to 6,423.62, 9,635.46 and 1,981.22

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Solution

The fourth proportional to 6,423.62, 9,635.46 and 1,981.22 is: 2,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.62 : 9,635.46 = 1,981.22 : x
  2. Step 2: Convert to fraction form
    6,423.62/9,635.46 = 1,981.22/x
  3. Step 3: Cross multiply
    6,423.62x = 9,635.46 × 1,981.22
  4. Step 4: Simplify right side
    6,423.62x = 19,089,917.88
  5. Step 5: Solve for x
    x = 19,089,917.88/6,423.62
  6. Step 6: Final answer
    x = 2,971.83

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Similar ratio
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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.