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Finding the Fourth Proportional to 11,664.16, 16,087.44 and 7,472.80

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Solution

The fourth proportional to 11,664.16, 16,087.44 and 7,472.80 is: 10,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.16 : 16,087.44 = 7,472.80 : x
  2. Step 2: Convert to fraction form
    11,664.16/16,087.44 = 7,472.80/x
  3. Step 3: Cross multiply
    11,664.16x = 16,087.44 × 7,472.80
  4. Step 4: Simplify right side
    11,664.16x = 120,218,221.63
  5. Step 5: Solve for x
    x = 120,218,221.63/11,664.16
  6. Step 6: Final answer
    x = 10,306.63

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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.