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Finding the Fourth Proportional to 2,800.37, 4,200.96 and 852.53

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Solution

The fourth proportional to 2,800.37, 4,200.96 and 852.53 is: 1,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.37 : 4,200.96 = 852.53 : x
  2. Step 2: Convert to fraction form
    2,800.37/4,200.96 = 852.53/x
  3. Step 3: Cross multiply
    2,800.37x = 4,200.96 × 852.53
  4. Step 4: Simplify right side
    2,800.37x = 3,581,426.62
  5. Step 5: Solve for x
    x = 3,581,426.62/2,800.37
  6. Step 6: Final answer
    x = 1,278.91

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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.