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Finding the Fourth Proportional to 7,680.60, 11,520.90 and 6,384.60

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Solution

The fourth proportional to 7,680.60, 11,520.90 and 6,384.60 is: 9,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.60 : 11,520.90 = 6,384.60 : x
  2. Step 2: Convert to fraction form
    7,680.60/11,520.90 = 6,384.60/x
  3. Step 3: Cross multiply
    7,680.60x = 11,520.90 × 6,384.60
  4. Step 4: Simplify right side
    7,680.60x = 73,556,338.14
  5. Step 5: Solve for x
    x = 73,556,338.14/7,680.60
  6. Step 6: Final answer
    x = 9,576.90

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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.