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Finding the Fourth Proportional to 7,630.49, 11,453.82 and 6,758.65

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Solution

The fourth proportional to 7,630.49, 11,453.82 and 6,758.65 is: 10,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.49 : 11,453.82 = 6,758.65 : x
  2. Step 2: Convert to fraction form
    7,630.49/11,453.82 = 6,758.65/x
  3. Step 3: Cross multiply
    7,630.49x = 11,453.82 × 6,758.65
  4. Step 4: Simplify right side
    7,630.49x = 77,412,360.54
  5. Step 5: Solve for x
    x = 77,412,360.54/7,630.49
  6. Step 6: Final answer
    x = 10,145.14

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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.