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Finding the Fourth Proportional to 3,627, 5,005.92 and 2,055.12

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Solution

The fourth proportional to 3,627, 5,005.92 and 2,055.12 is: 2,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627 : 5,005.92 = 2,055.12 : x
  2. Step 2: Convert to fraction form
    3,627/5,005.92 = 2,055.12/x
  3. Step 3: Cross multiply
    3,627x = 5,005.92 × 2,055.12
  4. Step 4: Simplify right side
    3,627x = 10,287,766.31
  5. Step 5: Solve for x
    x = 10,287,766.31/3,627
  6. Step 6: Final answer
    x = 2,836.44

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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.