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Finding the Fourth Proportional to 16,381.60, 24,576 and 7,612

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Solution

The fourth proportional to 16,381.60, 24,576 and 7,612 is: 11,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.60 : 24,576 = 7,612 : x
  2. Step 2: Convert to fraction form
    16,381.60/24,576 = 7,612/x
  3. Step 3: Cross multiply
    16,381.60x = 24,576 × 7,612
  4. Step 4: Simplify right side
    16,381.60x = 187,072,512
  5. Step 5: Solve for x
    x = 187,072,512/16,381.60
  6. Step 6: Final answer
    x = 11,419.67

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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.