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Finding the Fourth Proportional to 7,668.27, 11,486.88 and 7,269.75

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Solution

The fourth proportional to 7,668.27, 11,486.88 and 7,269.75 is: 10,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.27 : 11,486.88 = 7,269.75 : x
  2. Step 2: Convert to fraction form
    7,668.27/11,486.88 = 7,269.75/x
  3. Step 3: Cross multiply
    7,668.27x = 11,486.88 × 7,269.75
  4. Step 4: Simplify right side
    7,668.27x = 83,506,745.88
  5. Step 5: Solve for x
    x = 83,506,745.88/7,668.27
  6. Step 6: Final answer
    x = 10,889.91

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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.