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Finding the Fourth Proportional to 7,812.69, 11,720.60 and 2,882.35

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Solution

The fourth proportional to 7,812.69, 11,720.60 and 2,882.35 is: 4,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.69 : 11,720.60 = 2,882.35 : x
  2. Step 2: Convert to fraction form
    7,812.69/11,720.60 = 2,882.35/x
  3. Step 3: Cross multiply
    7,812.69x = 11,720.60 × 2,882.35
  4. Step 4: Simplify right side
    7,812.69x = 33,782,871.41
  5. Step 5: Solve for x
    x = 33,782,871.41/7,812.69
  6. Step 6: Final answer
    x = 4,324.10

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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.