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Finding the Fourth Proportional to 13,684.25, 20,427.41 and 12,023.50

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Solution

The fourth proportional to 13,684.25, 20,427.41 and 12,023.50 is: 17,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.25 : 20,427.41 = 12,023.50 : x
  2. Step 2: Convert to fraction form
    13,684.25/20,427.41 = 12,023.50/x
  3. Step 3: Cross multiply
    13,684.25x = 20,427.41 × 12,023.50
  4. Step 4: Simplify right side
    13,684.25x = 245,608,964.14
  5. Step 5: Solve for x
    x = 245,608,964.14/13,684.25
  6. Step 6: Final answer
    x = 17,948.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.