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Finding the Fourth Proportional to 5,612.25, 8,422.02 and 2,149.50

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Solution

The fourth proportional to 5,612.25, 8,422.02 and 2,149.50 is: 3,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.25 : 8,422.02 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    5,612.25/8,422.02 = 2,149.50/x
  3. Step 3: Cross multiply
    5,612.25x = 8,422.02 × 2,149.50
  4. Step 4: Simplify right side
    5,612.25x = 18,103,131.99
  5. Step 5: Solve for x
    x = 18,103,131.99/5,612.25
  6. Step 6: Final answer
    x = 3,225.65

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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.