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Finding the Fourth Proportional to 18,064, 27,146.94 and 10,671.76

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Solution

The fourth proportional to 18,064, 27,146.94 and 10,671.76 is: 16,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,064 : 27,146.94 = 10,671.76 : x
  2. Step 2: Convert to fraction form
    18,064/27,146.94 = 10,671.76/x
  3. Step 3: Cross multiply
    18,064x = 27,146.94 × 10,671.76
  4. Step 4: Simplify right side
    18,064x = 289,705,628.41
  5. Step 5: Solve for x
    x = 289,705,628.41/18,064
  6. Step 6: Final answer
    x = 16,037.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.