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Finding the Fourth Proportional to 2,144.71, 2,974.84 and 2,087.81

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Solution

The fourth proportional to 2,144.71, 2,974.84 and 2,087.81 is: 2,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.71 : 2,974.84 = 2,087.81 : x
  2. Step 2: Convert to fraction form
    2,144.71/2,974.84 = 2,087.81/x
  3. Step 3: Cross multiply
    2,144.71x = 2,974.84 × 2,087.81
  4. Step 4: Simplify right side
    2,144.71x = 6,210,891.76
  5. Step 5: Solve for x
    x = 6,210,891.76/2,144.71
  6. Step 6: Final answer
    x = 2,895.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.