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Finding the Fourth Proportional to 1,213.96, 1,672.50 and 1,131.88

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Solution

The fourth proportional to 1,213.96, 1,672.50 and 1,131.88 is: 1,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.96 : 1,672.50 = 1,131.88 : x
  2. Step 2: Convert to fraction form
    1,213.96/1,672.50 = 1,131.88/x
  3. Step 3: Cross multiply
    1,213.96x = 1,672.50 × 1,131.88
  4. Step 4: Simplify right side
    1,213.96x = 1,893,069.30
  5. Step 5: Solve for x
    x = 1,893,069.30/1,213.96
  6. Step 6: Final answer
    x = 1,559.42

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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.