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Finding the Fourth Proportional to 1,884.80, 2,601.24 and 1,824.32

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Solution

The fourth proportional to 1,884.80, 2,601.24 and 1,824.32 is: 2,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.80 : 2,601.24 = 1,824.32 : x
  2. Step 2: Convert to fraction form
    1,884.80/2,601.24 = 1,824.32/x
  3. Step 3: Cross multiply
    1,884.80x = 2,601.24 × 1,824.32
  4. Step 4: Simplify right side
    1,884.80x = 4,745,494.16
  5. Step 5: Solve for x
    x = 4,745,494.16/1,884.80
  6. Step 6: Final answer
    x = 2,517.77

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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.