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Finding the Fourth Proportional to 2,548.60, 3,824.10 and 1,900.60

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Solution

The fourth proportional to 2,548.60, 3,824.10 and 1,900.60 is: 2,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.60 : 3,824.10 = 1,900.60 : x
  2. Step 2: Convert to fraction form
    2,548.60/3,824.10 = 1,900.60/x
  3. Step 3: Cross multiply
    2,548.60x = 3,824.10 × 1,900.60
  4. Step 4: Simplify right side
    2,548.60x = 7,268,084.46
  5. Step 5: Solve for x
    x = 7,268,084.46/2,548.60
  6. Step 6: Final answer
    x = 2,851.79

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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.