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Finding the Fourth Proportional to 20,689, 28,534.20 and 13,518.34

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Solution

The fourth proportional to 20,689, 28,534.20 and 13,518.34 is: 18,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689 : 28,534.20 = 13,518.34 : x
  2. Step 2: Convert to fraction form
    20,689/28,534.20 = 13,518.34/x
  3. Step 3: Cross multiply
    20,689x = 28,534.20 × 13,518.34
  4. Step 4: Simplify right side
    20,689x = 385,735,017.23
  5. Step 5: Solve for x
    x = 385,735,017.23/20,689
  6. Step 6: Final answer
    x = 18,644.45

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1.5x scale

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.