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Finding the Fourth Proportional to 11,963.81, 16,532.81 and 8,974.44

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Solution

The fourth proportional to 11,963.81, 16,532.81 and 8,974.44 is: 12,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.81 : 16,532.81 = 8,974.44 : x
  2. Step 2: Convert to fraction form
    11,963.81/16,532.81 = 8,974.44/x
  3. Step 3: Cross multiply
    11,963.81x = 16,532.81 × 8,974.44
  4. Step 4: Simplify right side
    11,963.81x = 148,372,666.50
  5. Step 5: Solve for x
    x = 148,372,666.50/11,963.81
  6. Step 6: Final answer
    x = 12,401.80

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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.