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Finding the Fourth Proportional to 3,681.50, 5,080.48 and 2,025.50

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Solution

The fourth proportional to 3,681.50, 5,080.48 and 2,025.50 is: 2,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.50 : 5,080.48 = 2,025.50 : x
  2. Step 2: Convert to fraction form
    3,681.50/5,080.48 = 2,025.50/x
  3. Step 3: Cross multiply
    3,681.50x = 5,080.48 × 2,025.50
  4. Step 4: Simplify right side
    3,681.50x = 10,290,512.24
  5. Step 5: Solve for x
    x = 10,290,512.24/3,681.50
  6. Step 6: Final answer
    x = 2,795.20

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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.