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Finding the Fourth Proportional to 12,223.68, 16,827.12 and 10,728.96

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Solution

The fourth proportional to 12,223.68, 16,827.12 and 10,728.96 is: 14,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.68 : 16,827.12 = 10,728.96 : x
  2. Step 2: Convert to fraction form
    12,223.68/16,827.12 = 10,728.96/x
  3. Step 3: Cross multiply
    12,223.68x = 16,827.12 × 10,728.96
  4. Step 4: Simplify right side
    12,223.68x = 180,537,497.40
  5. Step 5: Solve for x
    x = 180,537,497.40/12,223.68
  6. Step 6: Final answer
    x = 14,769.49

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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.