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Finding the Fourth Proportional to 7,803.02, 11,704.61 and 1,959.64

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Solution

The fourth proportional to 7,803.02, 11,704.61 and 1,959.64 is: 2,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.02 : 11,704.61 = 1,959.64 : x
  2. Step 2: Convert to fraction form
    7,803.02/11,704.61 = 1,959.64/x
  3. Step 3: Cross multiply
    7,803.02x = 11,704.61 × 1,959.64
  4. Step 4: Simplify right side
    7,803.02x = 22,936,797.58
  5. Step 5: Solve for x
    x = 22,936,797.58/7,803.02
  6. Step 6: Final answer
    x = 2,939.48

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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.