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Finding the Fourth Proportional to 7,803.86, 11,709.24 and 4,105.26

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Solution

The fourth proportional to 7,803.86, 11,709.24 and 4,105.26 is: 6,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.86 : 11,709.24 = 4,105.26 : x
  2. Step 2: Convert to fraction form
    7,803.86/11,709.24 = 4,105.26/x
  3. Step 3: Cross multiply
    7,803.86x = 11,709.24 × 4,105.26
  4. Step 4: Simplify right side
    7,803.86x = 48,069,474.60
  5. Step 5: Solve for x
    x = 48,069,474.60/7,803.86
  6. Step 6: Final answer
    x = 6,159.70

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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.