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Finding the Fourth Proportional to 1,996.80, 2,743.20 and 1,646.40

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Solution

The fourth proportional to 1,996.80, 2,743.20 and 1,646.40 is: 2,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.80 : 2,743.20 = 1,646.40 : x
  2. Step 2: Convert to fraction form
    1,996.80/2,743.20 = 1,646.40/x
  3. Step 3: Cross multiply
    1,996.80x = 2,743.20 × 1,646.40
  4. Step 4: Simplify right side
    1,996.80x = 4,516,404.48
  5. Step 5: Solve for x
    x = 4,516,404.48/1,996.80
  6. Step 6: Final answer
    x = 2,261.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.