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Finding the Fourth Proportional to 2,803.86, 3,868.53 and 1,809.48

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Solution

The fourth proportional to 2,803.86, 3,868.53 and 1,809.48 is: 2,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.86 : 3,868.53 = 1,809.48 : x
  2. Step 2: Convert to fraction form
    2,803.86/3,868.53 = 1,809.48/x
  3. Step 3: Cross multiply
    2,803.86x = 3,868.53 × 1,809.48
  4. Step 4: Simplify right side
    2,803.86x = 7,000,027.66
  5. Step 5: Solve for x
    x = 7,000,027.66/2,803.86
  6. Step 6: Final answer
    x = 2,496.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.