Home / 1,982.34-2,732.61-1,561.92

Finding the Fourth Proportional to 1,982.34, 2,732.61 and 1,561.92

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Solution

The fourth proportional to 1,982.34, 2,732.61 and 1,561.92 is: 2,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.34 : 2,732.61 = 1,561.92 : x
  2. Step 2: Convert to fraction form
    1,982.34/2,732.61 = 1,561.92/x
  3. Step 3: Cross multiply
    1,982.34x = 2,732.61 × 1,561.92
  4. Step 4: Simplify right side
    1,982.34x = 4,268,118.21
  5. Step 5: Solve for x
    x = 4,268,118.21/1,982.34
  6. Step 6: Final answer
    x = 2,153.07

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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.