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Finding the Fourth Proportional to 2,106.61, 3,160.01 and 874.60

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Solution

The fourth proportional to 2,106.61, 3,160.01 and 874.60 is: 1,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.61 : 3,160.01 = 874.60 : x
  2. Step 2: Convert to fraction form
    2,106.61/3,160.01 = 874.60/x
  3. Step 3: Cross multiply
    2,106.61x = 3,160.01 × 874.60
  4. Step 4: Simplify right side
    2,106.61x = 2,763,739.03
  5. Step 5: Solve for x
    x = 2,763,739.03/2,106.61
  6. Step 6: Final answer
    x = 1,311.94

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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.