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Finding the Fourth Proportional to 2,174.14, 3,260.94 and 874.63

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Solution

The fourth proportional to 2,174.14, 3,260.94 and 874.63 is: 1,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.14 : 3,260.94 = 874.63 : x
  2. Step 2: Convert to fraction form
    2,174.14/3,260.94 = 874.63/x
  3. Step 3: Cross multiply
    2,174.14x = 3,260.94 × 874.63
  4. Step 4: Simplify right side
    2,174.14x = 2,852,115.95
  5. Step 5: Solve for x
    x = 2,852,115.95/2,174.14
  6. Step 6: Final answer
    x = 1,311.84

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1.5x scale

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.