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Finding the Fourth Proportional to 1,262.56, 1,905.14 and 1,212

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Solution

The fourth proportional to 1,262.56, 1,905.14 and 1,212 is: 1,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.56 : 1,905.14 = 1,212 : x
  2. Step 2: Convert to fraction form
    1,262.56/1,905.14 = 1,212/x
  3. Step 3: Cross multiply
    1,262.56x = 1,905.14 × 1,212
  4. Step 4: Simplify right side
    1,262.56x = 2,309,029.68
  5. Step 5: Solve for x
    x = 2,309,029.68/1,262.56
  6. Step 6: Final answer
    x = 1,828.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.