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Finding the Fourth Proportional to 20,586.84, 30,887.70 and 8,099.98

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Solution

The fourth proportional to 20,586.84, 30,887.70 and 8,099.98 is: 12,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586.84 : 30,887.70 = 8,099.98 : x
  2. Step 2: Convert to fraction form
    20,586.84/30,887.70 = 8,099.98/x
  3. Step 3: Cross multiply
    20,586.84x = 30,887.70 × 8,099.98
  4. Step 4: Simplify right side
    20,586.84x = 250,189,752.25
  5. Step 5: Solve for x
    x = 250,189,752.25/20,586.84
  6. Step 6: Final answer
    x = 12,152.90

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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.