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Finding the Fourth Proportional to 7,668.76, 11,503.71 and 3,286.24

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Solution

The fourth proportional to 7,668.76, 11,503.71 and 3,286.24 is: 4,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.76 : 11,503.71 = 3,286.24 : x
  2. Step 2: Convert to fraction form
    7,668.76/11,503.71 = 3,286.24/x
  3. Step 3: Cross multiply
    7,668.76x = 11,503.71 × 3,286.24
  4. Step 4: Simplify right side
    7,668.76x = 37,803,951.95
  5. Step 5: Solve for x
    x = 37,803,951.95/7,668.76
  6. Step 6: Final answer
    x = 4,929.60

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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.