Home / 2,288.10-3,432.21-827.40

Finding the Fourth Proportional to 2,288.10, 3,432.21 and 827.40

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Solution

The fourth proportional to 2,288.10, 3,432.21 and 827.40 is: 1,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.10 : 3,432.21 = 827.40 : x
  2. Step 2: Convert to fraction form
    2,288.10/3,432.21 = 827.40/x
  3. Step 3: Cross multiply
    2,288.10x = 3,432.21 × 827.40
  4. Step 4: Simplify right side
    2,288.10x = 2,839,810.55
  5. Step 5: Solve for x
    x = 2,839,810.55/2,288.10
  6. Step 6: Final answer
    x = 1,241.12

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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.