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Finding the Fourth Proportional to 3,339.74, 5,009.91 and 874.55

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Solution

The fourth proportional to 3,339.74, 5,009.91 and 874.55 is: 1,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.74 : 5,009.91 = 874.55 : x
  2. Step 2: Convert to fraction form
    3,339.74/5,009.91 = 874.55/x
  3. Step 3: Cross multiply
    3,339.74x = 5,009.91 × 874.55
  4. Step 4: Simplify right side
    3,339.74x = 4,381,429.32
  5. Step 5: Solve for x
    x = 4,381,429.32/3,339.74
  6. Step 6: Final answer
    x = 1,311.91

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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.