Home / 1,828.14-2,742.21-1,461.21

Finding the Fourth Proportional to 1,828.14, 2,742.21 and 1,461.21

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Solution

The fourth proportional to 1,828.14, 2,742.21 and 1,461.21 is: 2,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.14 : 2,742.21 = 1,461.21 : x
  2. Step 2: Convert to fraction form
    1,828.14/2,742.21 = 1,461.21/x
  3. Step 3: Cross multiply
    1,828.14x = 2,742.21 × 1,461.21
  4. Step 4: Simplify right side
    1,828.14x = 4,006,944.67
  5. Step 5: Solve for x
    x = 4,006,944.67/1,828.14
  6. Step 6: Final answer
    x = 2,191.82

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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.