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Finding the Fourth Proportional to 20,750.64, 28,630.80 and 11,796

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Solution

The fourth proportional to 20,750.64, 28,630.80 and 11,796 is: 16,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.64 : 28,630.80 = 11,796 : x
  2. Step 2: Convert to fraction form
    20,750.64/28,630.80 = 11,796/x
  3. Step 3: Cross multiply
    20,750.64x = 28,630.80 × 11,796
  4. Step 4: Simplify right side
    20,750.64x = 337,728,916.80
  5. Step 5: Solve for x
    x = 337,728,916.80/20,750.64
  6. Step 6: Final answer
    x = 16,275.59

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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.