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Finding the Fourth Proportional to 2,733, 3,772.20 and 1,554.78

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Solution

The fourth proportional to 2,733, 3,772.20 and 1,554.78 is: 2,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733 : 3,772.20 = 1,554.78 : x
  2. Step 2: Convert to fraction form
    2,733/3,772.20 = 1,554.78/x
  3. Step 3: Cross multiply
    2,733x = 3,772.20 × 1,554.78
  4. Step 4: Simplify right side
    2,733x = 5,864,941.12
  5. Step 5: Solve for x
    x = 5,864,941.12/2,733
  6. Step 6: Final answer
    x = 2,145.97

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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.