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Finding the Fourth Proportional to 6,647.36, 9,971.02 and 3,136.20

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Solution

The fourth proportional to 6,647.36, 9,971.02 and 3,136.20 is: 4,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.36 : 9,971.02 = 3,136.20 : x
  2. Step 2: Convert to fraction form
    6,647.36/9,971.02 = 3,136.20/x
  3. Step 3: Cross multiply
    6,647.36x = 9,971.02 × 3,136.20
  4. Step 4: Simplify right side
    6,647.36x = 31,271,112.92
  5. Step 5: Solve for x
    x = 31,271,112.92/6,647.36
  6. Step 6: Final answer
    x = 4,704.29

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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.