Home / 2,081-2,869.44-1,701.71

Finding the Fourth Proportional to 2,081, 2,869.44 and 1,701.71

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Solution

The fourth proportional to 2,081, 2,869.44 and 1,701.71 is: 2,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081 : 2,869.44 = 1,701.71 : x
  2. Step 2: Convert to fraction form
    2,081/2,869.44 = 1,701.71/x
  3. Step 3: Cross multiply
    2,081x = 2,869.44 × 1,701.71
  4. Step 4: Simplify right side
    2,081x = 4,882,954.74
  5. Step 5: Solve for x
    x = 4,882,954.74/2,081
  6. Step 6: Final answer
    x = 2,346.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.