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Finding the Fourth Proportional to 5,491.57, 8,218.21 and 4,492.84

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Solution

The fourth proportional to 5,491.57, 8,218.21 and 4,492.84 is: 6,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.57 : 8,218.21 = 4,492.84 : x
  2. Step 2: Convert to fraction form
    5,491.57/8,218.21 = 4,492.84/x
  3. Step 3: Cross multiply
    5,491.57x = 8,218.21 × 4,492.84
  4. Step 4: Simplify right side
    5,491.57x = 36,923,117.79
  5. Step 5: Solve for x
    x = 36,923,117.79/5,491.57
  6. Step 6: Final answer
    x = 6,723.60

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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.