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Finding the Fourth Proportional to 1,926.82, 2,659.29 and 1,264.66

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Solution

The fourth proportional to 1,926.82, 2,659.29 and 1,264.66 is: 1,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.82 : 2,659.29 = 1,264.66 : x
  2. Step 2: Convert to fraction form
    1,926.82/2,659.29 = 1,264.66/x
  3. Step 3: Cross multiply
    1,926.82x = 2,659.29 × 1,264.66
  4. Step 4: Simplify right side
    1,926.82x = 3,363,097.69
  5. Step 5: Solve for x
    x = 3,363,097.69/1,926.82
  6. Step 6: Final answer
    x = 1,745.41

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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.