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Finding the Fourth Proportional to 16,367, 22,586.70 and 8,915

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Solution

The fourth proportional to 16,367, 22,586.70 and 8,915 is: 12,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367 : 22,586.70 = 8,915 : x
  2. Step 2: Convert to fraction form
    16,367/22,586.70 = 8,915/x
  3. Step 3: Cross multiply
    16,367x = 22,586.70 × 8,915
  4. Step 4: Simplify right side
    16,367x = 201,360,430.50
  5. Step 5: Solve for x
    x = 201,360,430.50/16,367
  6. Step 6: Final answer
    x = 12,302.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.