Home / 1,827.05-2,740.84-961.43

Finding the Fourth Proportional to 1,827.05, 2,740.84 and 961.43

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Solution

The fourth proportional to 1,827.05, 2,740.84 and 961.43 is: 1,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.05 : 2,740.84 = 961.43 : x
  2. Step 2: Convert to fraction form
    1,827.05/2,740.84 = 961.43/x
  3. Step 3: Cross multiply
    1,827.05x = 2,740.84 × 961.43
  4. Step 4: Simplify right side
    1,827.05x = 2,635,109.69
  5. Step 5: Solve for x
    x = 2,635,109.69/1,827.05
  6. Step 6: Final answer
    x = 1,442.28

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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.