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Finding the Fourth Proportional to 2,644.76, 3,645.56 and 2,084.32

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Solution

The fourth proportional to 2,644.76, 3,645.56 and 2,084.32 is: 2,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.76 : 3,645.56 = 2,084.32 : x
  2. Step 2: Convert to fraction form
    2,644.76/3,645.56 = 2,084.32/x
  3. Step 3: Cross multiply
    2,644.76x = 3,645.56 × 2,084.32
  4. Step 4: Simplify right side
    2,644.76x = 7,598,513.62
  5. Step 5: Solve for x
    x = 7,598,513.62/2,644.76
  6. Step 6: Final answer
    x = 2,873.04

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Half scale
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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.