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Finding the Fourth Proportional to 28,713, 39,626.46 and 16,137.84

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Solution

The fourth proportional to 28,713, 39,626.46 and 16,137.84 is: 22,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,713 : 39,626.46 = 16,137.84 : x
  2. Step 2: Convert to fraction form
    28,713/39,626.46 = 16,137.84/x
  3. Step 3: Cross multiply
    28,713x = 39,626.46 × 16,137.84
  4. Step 4: Simplify right side
    28,713x = 639,485,471.25
  5. Step 5: Solve for x
    x = 639,485,471.25/28,713
  6. Step 6: Final answer
    x = 22,271.64

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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.