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Finding the Fourth Proportional to 3,111.73, 4,667.64 and 803.23

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Solution

The fourth proportional to 3,111.73, 4,667.64 and 803.23 is: 1,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.73 : 4,667.64 = 803.23 : x
  2. Step 2: Convert to fraction form
    3,111.73/4,667.64 = 803.23/x
  3. Step 3: Cross multiply
    3,111.73x = 4,667.64 × 803.23
  4. Step 4: Simplify right side
    3,111.73x = 3,749,188.48
  5. Step 5: Solve for x
    x = 3,749,188.48/3,111.73
  6. Step 6: Final answer
    x = 1,204.86

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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.