Home / 2,042.09-2,819.69-1,642.46

Finding the Fourth Proportional to 2,042.09, 2,819.69 and 1,642.46

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Solution

The fourth proportional to 2,042.09, 2,819.69 and 1,642.46 is: 2,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.09 : 2,819.69 = 1,642.46 : x
  2. Step 2: Convert to fraction form
    2,042.09/2,819.69 = 1,642.46/x
  3. Step 3: Cross multiply
    2,042.09x = 2,819.69 × 1,642.46
  4. Step 4: Simplify right side
    2,042.09x = 4,631,239.19
  5. Step 5: Solve for x
    x = 4,631,239.19/2,042.09
  6. Step 6: Final answer
    x = 2,267.89

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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.