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Finding the Fourth Proportional to 2,854.20, 4,282.20 and 1,393.50

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Solution

The fourth proportional to 2,854.20, 4,282.20 and 1,393.50 is: 2,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.20 : 4,282.20 = 1,393.50 : x
  2. Step 2: Convert to fraction form
    2,854.20/4,282.20 = 1,393.50/x
  3. Step 3: Cross multiply
    2,854.20x = 4,282.20 × 1,393.50
  4. Step 4: Simplify right side
    2,854.20x = 5,967,245.70
  5. Step 5: Solve for x
    x = 5,967,245.70/2,854.20
  6. Step 6: Final answer
    x = 2,090.69

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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.