Home / 1,762.44-2,645.82-826.29

Finding the Fourth Proportional to 1,762.44, 2,645.82 and 826.29

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Solution

The fourth proportional to 1,762.44, 2,645.82 and 826.29 is: 1,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.44 : 2,645.82 = 826.29 : x
  2. Step 2: Convert to fraction form
    1,762.44/2,645.82 = 826.29/x
  3. Step 3: Cross multiply
    1,762.44x = 2,645.82 × 826.29
  4. Step 4: Simplify right side
    1,762.44x = 2,186,214.61
  5. Step 5: Solve for x
    x = 2,186,214.61/1,762.44
  6. Step 6: Final answer
    x = 1,240.45

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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.