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Finding the Fourth Proportional to 3,339.56, 5,009.62 and 874.37

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Solution

The fourth proportional to 3,339.56, 5,009.62 and 874.37 is: 1,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.56 : 5,009.62 = 874.37 : x
  2. Step 2: Convert to fraction form
    3,339.56/5,009.62 = 874.37/x
  3. Step 3: Cross multiply
    3,339.56x = 5,009.62 × 874.37
  4. Step 4: Simplify right side
    3,339.56x = 4,380,271.78
  5. Step 5: Solve for x
    x = 4,380,271.78/3,339.56
  6. Step 6: Final answer
    x = 1,311.63

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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.