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Finding the Fourth Proportional to 16,143.65, 24,222.78 and 8,242.09

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Solution

The fourth proportional to 16,143.65, 24,222.78 and 8,242.09 is: 12,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.65 : 24,222.78 = 8,242.09 : x
  2. Step 2: Convert to fraction form
    16,143.65/24,222.78 = 8,242.09/x
  3. Step 3: Cross multiply
    16,143.65x = 24,222.78 × 8,242.09
  4. Step 4: Simplify right side
    16,143.65x = 199,646,332.81
  5. Step 5: Solve for x
    x = 199,646,332.81/16,143.65
  6. Step 6: Final answer
    x = 12,366.86

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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.