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Finding the Fourth Proportional to 31,692.98, 43,736.36 and 20,362.53

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Solution

The fourth proportional to 31,692.98, 43,736.36 and 20,362.53 is: 28,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.98 : 43,736.36 = 20,362.53 : x
  2. Step 2: Convert to fraction form
    31,692.98/43,736.36 = 20,362.53/x
  3. Step 3: Cross multiply
    31,692.98x = 43,736.36 × 20,362.53
  4. Step 4: Simplify right side
    31,692.98x = 890,582,840.78
  5. Step 5: Solve for x
    x = 890,582,840.78/31,692.98
  6. Step 6: Final answer
    x = 28,100.32

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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.