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Finding the Fourth Proportional to 11,931.44, 16,472.97 and 8,160.89

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Solution

The fourth proportional to 11,931.44, 16,472.97 and 8,160.89 is: 11,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.44 : 16,472.97 = 8,160.89 : x
  2. Step 2: Convert to fraction form
    11,931.44/16,472.97 = 8,160.89/x
  3. Step 3: Cross multiply
    11,931.44x = 16,472.97 × 8,160.89
  4. Step 4: Simplify right side
    11,931.44x = 134,434,013.78
  5. Step 5: Solve for x
    x = 134,434,013.78/11,931.44
  6. Step 6: Final answer
    x = 11,267.21

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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.