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Finding the Fourth Proportional to 1,692.81, 2,336.16 and 1,029.55

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Solution

The fourth proportional to 1,692.81, 2,336.16 and 1,029.55 is: 1,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.81 : 2,336.16 = 1,029.55 : x
  2. Step 2: Convert to fraction form
    1,692.81/2,336.16 = 1,029.55/x
  3. Step 3: Cross multiply
    1,692.81x = 2,336.16 × 1,029.55
  4. Step 4: Simplify right side
    1,692.81x = 2,405,193.53
  5. Step 5: Solve for x
    x = 2,405,193.53/1,692.81
  6. Step 6: Final answer
    x = 1,420.83

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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.