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Finding the Fourth Proportional to 12,441.99, 18,619.13 and 7,764.20

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Solution

The fourth proportional to 12,441.99, 18,619.13 and 7,764.20 is: 11,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.99 : 18,619.13 = 7,764.20 : x
  2. Step 2: Convert to fraction form
    12,441.99/18,619.13 = 7,764.20/x
  3. Step 3: Cross multiply
    12,441.99x = 18,619.13 × 7,764.20
  4. Step 4: Simplify right side
    12,441.99x = 144,562,668.56
  5. Step 5: Solve for x
    x = 144,562,668.56/12,441.99
  6. Step 6: Final answer
    x = 11,618.94

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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.