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Finding the Fourth Proportional to 5,422.75, 8,134.05 and 1,724.94

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Solution

The fourth proportional to 5,422.75, 8,134.05 and 1,724.94 is: 2,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.75 : 8,134.05 = 1,724.94 : x
  2. Step 2: Convert to fraction form
    5,422.75/8,134.05 = 1,724.94/x
  3. Step 3: Cross multiply
    5,422.75x = 8,134.05 × 1,724.94
  4. Step 4: Simplify right side
    5,422.75x = 14,030,734.40
  5. Step 5: Solve for x
    x = 14,030,734.40/5,422.75
  6. Step 6: Final answer
    x = 2,587.38

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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.