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Finding the Fourth Proportional to 2,123.06, 3,184.40 and 662.06

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Solution

The fourth proportional to 2,123.06, 3,184.40 and 662.06 is: 993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.06 : 3,184.40 = 662.06 : x
  2. Step 2: Convert to fraction form
    2,123.06/3,184.40 = 662.06/x
  3. Step 3: Cross multiply
    2,123.06x = 3,184.40 × 662.06
  4. Step 4: Simplify right side
    2,123.06x = 2,108,273.48
  5. Step 5: Solve for x
    x = 2,108,273.48/2,123.06
  6. Step 6: Final answer
    x = 993.04

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Why These Related Problems?

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