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Finding the Fourth Proportional to 28,794, 39,735.81 and 16,219.02

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Solution

The fourth proportional to 28,794, 39,735.81 and 16,219.02 is: 22,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,794 : 39,735.81 = 16,219.02 : x
  2. Step 2: Convert to fraction form
    28,794/39,735.81 = 16,219.02/x
  3. Step 3: Cross multiply
    28,794x = 39,735.81 × 16,219.02
  4. Step 4: Simplify right side
    28,794x = 644,475,897.11
  5. Step 5: Solve for x
    x = 644,475,897.11/28,794
  6. Step 6: Final answer
    x = 22,382.30

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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.