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Finding the Fourth Proportional to 2,798.85, 4,197.21 and 824.06

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Solution

The fourth proportional to 2,798.85, 4,197.21 and 824.06 is: 1,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.85 : 4,197.21 = 824.06 : x
  2. Step 2: Convert to fraction form
    2,798.85/4,197.21 = 824.06/x
  3. Step 3: Cross multiply
    2,798.85x = 4,197.21 × 824.06
  4. Step 4: Simplify right side
    2,798.85x = 3,458,752.87
  5. Step 5: Solve for x
    x = 3,458,752.87/2,798.85
  6. Step 6: Final answer
    x = 1,235.78

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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.