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Finding the Fourth Proportional to 1,342.56, 1,842.85 and 1,191.90

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Solution

The fourth proportional to 1,342.56, 1,842.85 and 1,191.90 is: 1,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.56 : 1,842.85 = 1,191.90 : x
  2. Step 2: Convert to fraction form
    1,342.56/1,842.85 = 1,191.90/x
  3. Step 3: Cross multiply
    1,342.56x = 1,842.85 × 1,191.90
  4. Step 4: Simplify right side
    1,342.56x = 2,196,486.96
  5. Step 5: Solve for x
    x = 2,196,486.96/1,342.56
  6. Step 6: Final answer
    x = 1,636.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.