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Finding the Fourth Proportional to 2,733, 3,772.80 and 1,685.68

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Solution

The fourth proportional to 2,733, 3,772.80 and 1,685.68 is: 2,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733 : 3,772.80 = 1,685.68 : x
  2. Step 2: Convert to fraction form
    2,733/3,772.80 = 1,685.68/x
  3. Step 3: Cross multiply
    2,733x = 3,772.80 × 1,685.68
  4. Step 4: Simplify right side
    2,733x = 6,359,733.50
  5. Step 5: Solve for x
    x = 6,359,733.50/2,733
  6. Step 6: Final answer
    x = 2,327.02

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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.