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Finding the Fourth Proportional to 10,872.80, 15,005.04 and 6,156.80

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Solution

The fourth proportional to 10,872.80, 15,005.04 and 6,156.80 is: 8,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.80 : 15,005.04 = 6,156.80 : x
  2. Step 2: Convert to fraction form
    10,872.80/15,005.04 = 6,156.80/x
  3. Step 3: Cross multiply
    10,872.80x = 15,005.04 × 6,156.80
  4. Step 4: Simplify right side
    10,872.80x = 92,383,030.27
  5. Step 5: Solve for x
    x = 92,383,030.27/10,872.80
  6. Step 6: Final answer
    x = 8,496.71

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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.