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Finding the Fourth Proportional to 7,647.36, 11,453.92 and 6,647.36

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Solution

The fourth proportional to 7,647.36, 11,453.92 and 6,647.36 is: 9,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.36 : 11,453.92 = 6,647.36 : x
  2. Step 2: Convert to fraction form
    7,647.36/11,453.92 = 6,647.36/x
  3. Step 3: Cross multiply
    7,647.36x = 11,453.92 × 6,647.36
  4. Step 4: Simplify right side
    7,647.36x = 76,138,329.65
  5. Step 5: Solve for x
    x = 76,138,329.65/7,647.36
  6. Step 6: Final answer
    x = 9,956.16

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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.