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Finding the Fourth Proportional to 3,725, 5,578.56 and 3,112.64

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Solution

The fourth proportional to 3,725, 5,578.56 and 3,112.64 is: 4,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725 : 5,578.56 = 3,112.64 : x
  2. Step 2: Convert to fraction form
    3,725/5,578.56 = 3,112.64/x
  3. Step 3: Cross multiply
    3,725x = 5,578.56 × 3,112.64
  4. Step 4: Simplify right side
    3,725x = 17,364,049.00
  5. Step 5: Solve for x
    x = 17,364,049.00/3,725
  6. Step 6: Final answer
    x = 4,661.49

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1.5x scale

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.