Home / 1,924.20-2,884.68-829.49

Finding the Fourth Proportional to 1,924.20, 2,884.68 and 829.49

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Solution

The fourth proportional to 1,924.20, 2,884.68 and 829.49 is: 1,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.20 : 2,884.68 = 829.49 : x
  2. Step 2: Convert to fraction form
    1,924.20/2,884.68 = 829.49/x
  3. Step 3: Cross multiply
    1,924.20x = 2,884.68 × 829.49
  4. Step 4: Simplify right side
    1,924.20x = 2,392,798.79
  5. Step 5: Solve for x
    x = 2,392,798.79/1,924.20
  6. Step 6: Final answer
    x = 1,243.53

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1.5x scale

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.