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Finding the Fourth Proportional to 12,522.96, 18,803.46 and 7,871.94

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Solution

The fourth proportional to 12,522.96, 18,803.46 and 7,871.94 is: 11,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.96 : 18,803.46 = 7,871.94 : x
  2. Step 2: Convert to fraction form
    12,522.96/18,803.46 = 7,871.94/x
  3. Step 3: Cross multiply
    12,522.96x = 18,803.46 × 7,871.94
  4. Step 4: Simplify right side
    12,522.96x = 148,019,708.91
  5. Step 5: Solve for x
    x = 148,019,708.91/12,522.96
  6. Step 6: Final answer
    x = 11,819.87

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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.