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Finding the Fourth Proportional to 1,692.32, 2,334.66 and 993.38

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Solution

The fourth proportional to 1,692.32, 2,334.66 and 993.38 is: 1,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.32 : 2,334.66 = 993.38 : x
  2. Step 2: Convert to fraction form
    1,692.32/2,334.66 = 993.38/x
  3. Step 3: Cross multiply
    1,692.32x = 2,334.66 × 993.38
  4. Step 4: Simplify right side
    1,692.32x = 2,319,204.55
  5. Step 5: Solve for x
    x = 2,319,204.55/1,692.32
  6. Step 6: Final answer
    x = 1,370.43

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1.5x scale

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.