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Finding the Fourth Proportional to 20,688, 28,532.82 and 13,517.34

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Solution

The fourth proportional to 20,688, 28,532.82 and 13,517.34 is: 18,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688 : 28,532.82 = 13,517.34 : x
  2. Step 2: Convert to fraction form
    20,688/28,532.82 = 13,517.34/x
  3. Step 3: Cross multiply
    20,688x = 28,532.82 × 13,517.34
  4. Step 4: Simplify right side
    20,688x = 385,687,829.10
  5. Step 5: Solve for x
    x = 385,687,829.10/20,688
  6. Step 6: Final answer
    x = 18,643.07

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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.