Home / 2,290.50-3,432.90-828.05

Finding the Fourth Proportional to 2,290.50, 3,432.90 and 828.05

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Solution

The fourth proportional to 2,290.50, 3,432.90 and 828.05 is: 1,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.50 : 3,432.90 = 828.05 : x
  2. Step 2: Convert to fraction form
    2,290.50/3,432.90 = 828.05/x
  3. Step 3: Cross multiply
    2,290.50x = 3,432.90 × 828.05
  4. Step 4: Simplify right side
    2,290.50x = 2,842,595.68
  5. Step 5: Solve for x
    x = 2,842,595.68/2,290.50
  6. Step 6: Final answer
    x = 1,241.04

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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.