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Finding the Fourth Proportional to 7,731.56, 11,599.02 and 2,800.68

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Solution

The fourth proportional to 7,731.56, 11,599.02 and 2,800.68 is: 4,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.56 : 11,599.02 = 2,800.68 : x
  2. Step 2: Convert to fraction form
    7,731.56/11,599.02 = 2,800.68/x
  3. Step 3: Cross multiply
    7,731.56x = 11,599.02 × 2,800.68
  4. Step 4: Simplify right side
    7,731.56x = 32,485,143.33
  5. Step 5: Solve for x
    x = 32,485,143.33/7,731.56
  6. Step 6: Final answer
    x = 4,201.63

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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.