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Finding the Fourth Proportional to 20,925, 28,876.50 and 11,494.17

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Solution

The fourth proportional to 20,925, 28,876.50 and 11,494.17 is: 15,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,925 : 28,876.50 = 11,494.17 : x
  2. Step 2: Convert to fraction form
    20,925/28,876.50 = 11,494.17/x
  3. Step 3: Cross multiply
    20,925x = 28,876.50 × 11,494.17
  4. Step 4: Simplify right side
    20,925x = 331,911,400.01
  5. Step 5: Solve for x
    x = 331,911,400.01/20,925
  6. Step 6: Final answer
    x = 15,861.95

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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.