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Finding the Fourth Proportional to 7,803.69, 11,704.64 and 1,959.86

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Solution

The fourth proportional to 7,803.69, 11,704.64 and 1,959.86 is: 2,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.69 : 11,704.64 = 1,959.86 : x
  2. Step 2: Convert to fraction form
    7,803.69/11,704.64 = 1,959.86/x
  3. Step 3: Cross multiply
    7,803.69x = 11,704.64 × 1,959.86
  4. Step 4: Simplify right side
    7,803.69x = 22,939,387.43
  5. Step 5: Solve for x
    x = 22,939,387.43/7,803.69
  6. Step 6: Final answer
    x = 2,939.56

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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.