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Finding the Fourth Proportional to 2,160.63, 3,241.53 and 991.38

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Solution

The fourth proportional to 2,160.63, 3,241.53 and 991.38 is: 1,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.63 : 3,241.53 = 991.38 : x
  2. Step 2: Convert to fraction form
    2,160.63/3,241.53 = 991.38/x
  3. Step 3: Cross multiply
    2,160.63x = 3,241.53 × 991.38
  4. Step 4: Simplify right side
    2,160.63x = 3,213,588.01
  5. Step 5: Solve for x
    x = 3,213,588.01/2,160.63
  6. Step 6: Final answer
    x = 1,487.34

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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.