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Finding the Fourth Proportional to 2,114.94, 3,172.17 and 1,337.34

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Solution

The fourth proportional to 2,114.94, 3,172.17 and 1,337.34 is: 2,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.94 : 3,172.17 = 1,337.34 : x
  2. Step 2: Convert to fraction form
    2,114.94/3,172.17 = 1,337.34/x
  3. Step 3: Cross multiply
    2,114.94x = 3,172.17 × 1,337.34
  4. Step 4: Simplify right side
    2,114.94x = 4,242,269.83
  5. Step 5: Solve for x
    x = 4,242,269.83/2,114.94
  6. Step 6: Final answer
    x = 2,005.86

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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.