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Finding the Fourth Proportional to 28,014, 38,659.32 and 16,836

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Solution

The fourth proportional to 28,014, 38,659.32 and 16,836 is: 23,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,014 : 38,659.32 = 16,836 : x
  2. Step 2: Convert to fraction form
    28,014/38,659.32 = 16,836/x
  3. Step 3: Cross multiply
    28,014x = 38,659.32 × 16,836
  4. Step 4: Simplify right side
    28,014x = 650,868,311.52
  5. Step 5: Solve for x
    x = 650,868,311.52/28,014
  6. Step 6: Final answer
    x = 23,233.68

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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.