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Finding the Fourth Proportional to 16,311.50, 22,509.87 and 8,859.50

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Solution

The fourth proportional to 16,311.50, 22,509.87 and 8,859.50 is: 12,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.50 : 22,509.87 = 8,859.50 : x
  2. Step 2: Convert to fraction form
    16,311.50/22,509.87 = 8,859.50/x
  3. Step 3: Cross multiply
    16,311.50x = 22,509.87 × 8,859.50
  4. Step 4: Simplify right side
    16,311.50x = 199,426,193.27
  5. Step 5: Solve for x
    x = 199,426,193.27/16,311.50
  6. Step 6: Final answer
    x = 12,226.11

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1.5x scale

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.