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Finding the Fourth Proportional to 2,106.12, 3,160.59 and 873.51

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Solution

The fourth proportional to 2,106.12, 3,160.59 and 873.51 is: 1,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.12 : 3,160.59 = 873.51 : x
  2. Step 2: Convert to fraction form
    2,106.12/3,160.59 = 873.51/x
  3. Step 3: Cross multiply
    2,106.12x = 3,160.59 × 873.51
  4. Step 4: Simplify right side
    2,106.12x = 2,760,806.97
  5. Step 5: Solve for x
    x = 2,760,806.97/2,106.12
  6. Step 6: Final answer
    x = 1,310.85

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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.