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Finding the Fourth Proportional to 2,640.84, 3,644.36 and 1,646.12

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Solution

The fourth proportional to 2,640.84, 3,644.36 and 1,646.12 is: 2,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.84 : 3,644.36 = 1,646.12 : x
  2. Step 2: Convert to fraction form
    2,640.84/3,644.36 = 1,646.12/x
  3. Step 3: Cross multiply
    2,640.84x = 3,644.36 × 1,646.12
  4. Step 4: Simplify right side
    2,640.84x = 5,999,049.03
  5. Step 5: Solve for x
    x = 5,999,049.03/2,640.84
  6. Step 6: Final answer
    x = 2,271.64

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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.