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Finding the Fourth Proportional to 2,106.95, 3,160.79 and 720.42

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Solution

The fourth proportional to 2,106.95, 3,160.79 and 720.42 is: 1,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.95 : 3,160.79 = 720.42 : x
  2. Step 2: Convert to fraction form
    2,106.95/3,160.79 = 720.42/x
  3. Step 3: Cross multiply
    2,106.95x = 3,160.79 × 720.42
  4. Step 4: Simplify right side
    2,106.95x = 2,277,092.73
  5. Step 5: Solve for x
    x = 2,277,092.73/2,106.95
  6. Step 6: Final answer
    x = 1,080.76

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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.