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Finding the Fourth Proportional to 2,106.39, 3,157.84 and 874.68

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Solution

The fourth proportional to 2,106.39, 3,157.84 and 874.68 is: 1,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.39 : 3,157.84 = 874.68 : x
  2. Step 2: Convert to fraction form
    2,106.39/3,157.84 = 874.68/x
  3. Step 3: Cross multiply
    2,106.39x = 3,157.84 × 874.68
  4. Step 4: Simplify right side
    2,106.39x = 2,762,099.49
  5. Step 5: Solve for x
    x = 2,762,099.49/2,106.39
  6. Step 6: Final answer
    x = 1,311.30

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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.