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Finding the Fourth Proportional to 2,123.55, 3,185.10 and 662.72

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Solution

The fourth proportional to 2,123.55, 3,185.10 and 662.72 is: 994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.55 : 3,185.10 = 662.72 : x
  2. Step 2: Convert to fraction form
    2,123.55/3,185.10 = 662.72/x
  3. Step 3: Cross multiply
    2,123.55x = 3,185.10 × 662.72
  4. Step 4: Simplify right side
    2,123.55x = 2,110,813.55
  5. Step 5: Solve for x
    x = 2,110,813.55/2,123.55
  6. Step 6: Final answer
    x = 994.00

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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.