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Finding the Fourth Proportional to 2,645.92, 3,652.80 and 1,982.48

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Solution

The fourth proportional to 2,645.92, 3,652.80 and 1,982.48 is: 2,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.92 : 3,652.80 = 1,982.48 : x
  2. Step 2: Convert to fraction form
    2,645.92/3,652.80 = 1,982.48/x
  3. Step 3: Cross multiply
    2,645.92x = 3,652.80 × 1,982.48
  4. Step 4: Simplify right side
    2,645.92x = 7,241,602.94
  5. Step 5: Solve for x
    x = 7,241,602.94/2,645.92
  6. Step 6: Final answer
    x = 2,736.89

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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.