Home / 2,282.08-3,420.96-742.72

Finding the Fourth Proportional to 2,282.08, 3,420.96 and 742.72

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Solution

The fourth proportional to 2,282.08, 3,420.96 and 742.72 is: 1,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.08 : 3,420.96 = 742.72 : x
  2. Step 2: Convert to fraction form
    2,282.08/3,420.96 = 742.72/x
  3. Step 3: Cross multiply
    2,282.08x = 3,420.96 × 742.72
  4. Step 4: Simplify right side
    2,282.08x = 2,540,815.41
  5. Step 5: Solve for x
    x = 2,540,815.41/2,282.08
  6. Step 6: Final answer
    x = 1,113.38

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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.