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Finding the Fourth Proportional to 2,640.79, 3,644.24 and 1,461.87

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Solution

The fourth proportional to 2,640.79, 3,644.24 and 1,461.87 is: 2,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.79 : 3,644.24 = 1,461.87 : x
  2. Step 2: Convert to fraction form
    2,640.79/3,644.24 = 1,461.87/x
  3. Step 3: Cross multiply
    2,640.79x = 3,644.24 × 1,461.87
  4. Step 4: Simplify right side
    2,640.79x = 5,327,406.04
  5. Step 5: Solve for x
    x = 5,327,406.04/2,640.79
  6. Step 6: Final answer
    x = 2,017.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.