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Finding the Fourth Proportional to 2,640.94, 3,644.49 and 1,461.94

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Solution

The fourth proportional to 2,640.94, 3,644.49 and 1,461.94 is: 2,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.94 : 3,644.49 = 1,461.94 : x
  2. Step 2: Convert to fraction form
    2,640.94/3,644.49 = 1,461.94/x
  3. Step 3: Cross multiply
    2,640.94x = 3,644.49 × 1,461.94
  4. Step 4: Simplify right side
    2,640.94x = 5,328,025.71
  5. Step 5: Solve for x
    x = 5,328,025.71/2,640.94
  6. Step 6: Final answer
    x = 2,017.47

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1.5x scale

Why These Related Problems?

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