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Finding the Fourth Proportional to 1,692.91, 2,335.51 and 1,029.65

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Solution

The fourth proportional to 1,692.91, 2,335.51 and 1,029.65 is: 1,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.91 : 2,335.51 = 1,029.65 : x
  2. Step 2: Convert to fraction form
    1,692.91/2,335.51 = 1,029.65/x
  3. Step 3: Cross multiply
    1,692.91x = 2,335.51 × 1,029.65
  4. Step 4: Simplify right side
    1,692.91x = 2,404,757.87
  5. Step 5: Solve for x
    x = 2,404,757.87/1,692.91
  6. Step 6: Final answer
    x = 1,420.49

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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.