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Finding the Fourth Proportional to 7,668.56, 11,487.72 and 7,128.56

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Solution

The fourth proportional to 7,668.56, 11,487.72 and 7,128.56 is: 10,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.56 : 11,487.72 = 7,128.56 : x
  2. Step 2: Convert to fraction form
    7,668.56/11,487.72 = 7,128.56/x
  3. Step 3: Cross multiply
    7,668.56x = 11,487.72 × 7,128.56
  4. Step 4: Simplify right side
    7,668.56x = 81,890,901.28
  5. Step 5: Solve for x
    x = 81,890,901.28/7,668.56
  6. Step 6: Final answer
    x = 10,678.78

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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.