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Finding the Fourth Proportional to 1,820.64, 2,734.64 and 1,091.60

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Solution

The fourth proportional to 1,820.64, 2,734.64 and 1,091.60 is: 1,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.64 : 2,734.64 = 1,091.60 : x
  2. Step 2: Convert to fraction form
    1,820.64/2,734.64 = 1,091.60/x
  3. Step 3: Cross multiply
    1,820.64x = 2,734.64 × 1,091.60
  4. Step 4: Simplify right side
    1,820.64x = 2,985,133.02
  5. Step 5: Solve for x
    x = 2,985,133.02/1,820.64
  6. Step 6: Final answer
    x = 1,639.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.