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Finding the Fourth Proportional to 1,767.88, 2,649.80 and 842.12

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Solution

The fourth proportional to 1,767.88, 2,649.80 and 842.12 is: 1,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.88 : 2,649.80 = 842.12 : x
  2. Step 2: Convert to fraction form
    1,767.88/2,649.80 = 842.12/x
  3. Step 3: Cross multiply
    1,767.88x = 2,649.80 × 842.12
  4. Step 4: Simplify right side
    1,767.88x = 2,231,445.37
  5. Step 5: Solve for x
    x = 2,231,445.37/1,767.88
  6. Step 6: Final answer
    x = 1,262.22

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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.