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Finding the Fourth Proportional to 2,842.02, 4,255.20 and 2,149.02

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Solution

The fourth proportional to 2,842.02, 4,255.20 and 2,149.02 is: 3,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.02 : 4,255.20 = 2,149.02 : x
  2. Step 2: Convert to fraction form
    2,842.02/4,255.20 = 2,149.02/x
  3. Step 3: Cross multiply
    2,842.02x = 4,255.20 × 2,149.02
  4. Step 4: Simplify right side
    2,842.02x = 9,144,509.90
  5. Step 5: Solve for x
    x = 9,144,509.90/2,842.02
  6. Step 6: Final answer
    x = 3,217.61

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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.