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Finding the Fourth Proportional to 1,884.72, 2,824.32 and 1,268.40

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Solution

The fourth proportional to 1,884.72, 2,824.32 and 1,268.40 is: 1,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.72 : 2,824.32 = 1,268.40 : x
  2. Step 2: Convert to fraction form
    1,884.72/2,824.32 = 1,268.40/x
  3. Step 3: Cross multiply
    1,884.72x = 2,824.32 × 1,268.40
  4. Step 4: Simplify right side
    1,884.72x = 3,582,367.49
  5. Step 5: Solve for x
    x = 3,582,367.49/1,884.72
  6. Step 6: Final answer
    x = 1,900.74

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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.