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Finding the Fourth Proportional to 7,307, 10,960.56 and 2,112.92

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Solution

The fourth proportional to 7,307, 10,960.56 and 2,112.92 is: 3,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307 : 10,960.56 = 2,112.92 : x
  2. Step 2: Convert to fraction form
    7,307/10,960.56 = 2,112.92/x
  3. Step 3: Cross multiply
    7,307x = 10,960.56 × 2,112.92
  4. Step 4: Simplify right side
    7,307x = 23,158,786.44
  5. Step 5: Solve for x
    x = 23,158,786.44/7,307
  6. Step 6: Final answer
    x = 3,169.40

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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.