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Finding the Fourth Proportional to 1,884.80, 2,824.80 and 1,678.40

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Solution

The fourth proportional to 1,884.80, 2,824.80 and 1,678.40 is: 2,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.80 : 2,824.80 = 1,678.40 : x
  2. Step 2: Convert to fraction form
    1,884.80/2,824.80 = 1,678.40/x
  3. Step 3: Cross multiply
    1,884.80x = 2,824.80 × 1,678.40
  4. Step 4: Simplify right side
    1,884.80x = 4,741,144.32
  5. Step 5: Solve for x
    x = 4,741,144.32/1,884.80
  6. Step 6: Final answer
    x = 2,515.46

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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.