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Finding the Fourth Proportional to 20,736, 28,615.68 and 13,284

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Solution

The fourth proportional to 20,736, 28,615.68 and 13,284 is: 18,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,736 : 28,615.68 = 13,284 : x
  2. Step 2: Convert to fraction form
    20,736/28,615.68 = 13,284/x
  3. Step 3: Cross multiply
    20,736x = 28,615.68 × 13,284
  4. Step 4: Simplify right side
    20,736x = 380,130,693.12
  5. Step 5: Solve for x
    x = 380,130,693.12/20,736
  6. Step 6: Final answer
    x = 18,331.92

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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.