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Finding the Fourth Proportional to 20,957, 28,920.48 and 11,396.84

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Solution

The fourth proportional to 20,957, 28,920.48 and 11,396.84 is: 15,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957 : 28,920.48 = 11,396.84 : x
  2. Step 2: Convert to fraction form
    20,957/28,920.48 = 11,396.84/x
  3. Step 3: Cross multiply
    20,957x = 28,920.48 × 11,396.84
  4. Step 4: Simplify right side
    20,957x = 329,602,083.28
  5. Step 5: Solve for x
    x = 329,602,083.28/20,957
  6. Step 6: Final answer
    x = 15,727.54

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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.