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Finding the Fourth Proportional to 2,800.27, 4,200.41 and 852.49

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Solution

The fourth proportional to 2,800.27, 4,200.41 and 852.49 is: 1,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.27 : 4,200.41 = 852.49 : x
  2. Step 2: Convert to fraction form
    2,800.27/4,200.41 = 852.49/x
  3. Step 3: Cross multiply
    2,800.27x = 4,200.41 × 852.49
  4. Step 4: Simplify right side
    2,800.27x = 3,580,807.52
  5. Step 5: Solve for x
    x = 3,580,807.52/2,800.27
  6. Step 6: Final answer
    x = 1,278.74

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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.