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Finding the Fourth Proportional to 11,668.40, 16,107.84 and 7,479.04

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Solution

The fourth proportional to 11,668.40, 16,107.84 and 7,479.04 is: 10,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.40 : 16,107.84 = 7,479.04 : x
  2. Step 2: Convert to fraction form
    11,668.40/16,107.84 = 7,479.04/x
  3. Step 3: Cross multiply
    11,668.40x = 16,107.84 × 7,479.04
  4. Step 4: Simplify right side
    11,668.40x = 120,471,179.67
  5. Step 5: Solve for x
    x = 120,471,179.67/11,668.40
  6. Step 6: Final answer
    x = 10,324.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.