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Finding the Fourth Proportional to 3,379.70, 5,071.80 and 1,188.42

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Solution

The fourth proportional to 3,379.70, 5,071.80 and 1,188.42 is: 1,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.70 : 5,071.80 = 1,188.42 : x
  2. Step 2: Convert to fraction form
    3,379.70/5,071.80 = 1,188.42/x
  3. Step 3: Cross multiply
    3,379.70x = 5,071.80 × 1,188.42
  4. Step 4: Simplify right side
    3,379.70x = 6,027,428.56
  5. Step 5: Solve for x
    x = 6,027,428.56/3,379.70
  6. Step 6: Final answer
    x = 1,783.42

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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.