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Finding the Fourth Proportional to 1,402.97, 1,936.21 and 813.51

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Solution

The fourth proportional to 1,402.97, 1,936.21 and 813.51 is: 1,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.97 : 1,936.21 = 813.51 : x
  2. Step 2: Convert to fraction form
    1,402.97/1,936.21 = 813.51/x
  3. Step 3: Cross multiply
    1,402.97x = 1,936.21 × 813.51
  4. Step 4: Simplify right side
    1,402.97x = 1,575,126.20
  5. Step 5: Solve for x
    x = 1,575,126.20/1,402.97
  6. Step 6: Final answer
    x = 1,122.71

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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.