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Finding the Fourth Proportional to 20,962, 28,920.50 and 14,235.96

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Solution

The fourth proportional to 20,962, 28,920.50 and 14,235.96 is: 19,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962 : 28,920.50 = 14,235.96 : x
  2. Step 2: Convert to fraction form
    20,962/28,920.50 = 14,235.96/x
  3. Step 3: Cross multiply
    20,962x = 28,920.50 × 14,235.96
  4. Step 4: Simplify right side
    20,962x = 411,711,081.18
  5. Step 5: Solve for x
    x = 411,711,081.18/20,962
  6. Step 6: Final answer
    x = 19,640.83

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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.