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Finding the Fourth Proportional to 2,123.40, 3,184.34 and 736.37

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Solution

The fourth proportional to 2,123.40, 3,184.34 and 736.37 is: 1,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.40 : 3,184.34 = 736.37 : x
  2. Step 2: Convert to fraction form
    2,123.40/3,184.34 = 736.37/x
  3. Step 3: Cross multiply
    2,123.40x = 3,184.34 × 736.37
  4. Step 4: Simplify right side
    2,123.40x = 2,344,832.84
  5. Step 5: Solve for x
    x = 2,344,832.84/2,123.40
  6. Step 6: Final answer
    x = 1,104.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.