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Finding the Fourth Proportional to 11,971.53, 16,520.07 and 6,866.78

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Solution

The fourth proportional to 11,971.53, 16,520.07 and 6,866.78 is: 9,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.53 : 16,520.07 = 6,866.78 : x
  2. Step 2: Convert to fraction form
    11,971.53/16,520.07 = 6,866.78/x
  3. Step 3: Cross multiply
    11,971.53x = 16,520.07 × 6,866.78
  4. Step 4: Simplify right side
    11,971.53x = 113,439,686.27
  5. Step 5: Solve for x
    x = 113,439,686.27/11,971.53
  6. Step 6: Final answer
    x = 9,475.79

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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.