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Finding the Fourth Proportional to 11,571.42, 15,953.12 and 8,687.94

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Solution

The fourth proportional to 11,571.42, 15,953.12 and 8,687.94 is: 11,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.42 : 15,953.12 = 8,687.94 : x
  2. Step 2: Convert to fraction form
    11,571.42/15,953.12 = 8,687.94/x
  3. Step 3: Cross multiply
    11,571.42x = 15,953.12 × 8,687.94
  4. Step 4: Simplify right side
    11,571.42x = 138,599,705.93
  5. Step 5: Solve for x
    x = 138,599,705.93/11,571.42
  6. Step 6: Final answer
    x = 11,977.76

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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.