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Finding the Fourth Proportional to 11,871.66, 16,380.68 and 7,623.48

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Solution

The fourth proportional to 11,871.66, 16,380.68 and 7,623.48 is: 10,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.66 : 16,380.68 = 7,623.48 : x
  2. Step 2: Convert to fraction form
    11,871.66/16,380.68 = 7,623.48/x
  3. Step 3: Cross multiply
    11,871.66x = 16,380.68 × 7,623.48
  4. Step 4: Simplify right side
    11,871.66x = 124,877,786.37
  5. Step 5: Solve for x
    x = 124,877,786.37/11,871.66
  6. Step 6: Final answer
    x = 10,518.98

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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.