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Finding the Fourth Proportional to 28,813, 39,761.94 and 16,238.20

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Solution

The fourth proportional to 28,813, 39,761.94 and 16,238.20 is: 22,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,813 : 39,761.94 = 16,238.20 : x
  2. Step 2: Convert to fraction form
    28,813/39,761.94 = 16,238.20/x
  3. Step 3: Cross multiply
    28,813x = 39,761.94 × 16,238.20
  4. Step 4: Simplify right side
    28,813x = 645,662,334.11
  5. Step 5: Solve for x
    x = 645,662,334.11/28,813
  6. Step 6: Final answer
    x = 22,408.72

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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.