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Finding the Fourth Proportional to 13,458.78, 20,188.17 and 5,662.62

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Solution

The fourth proportional to 13,458.78, 20,188.17 and 5,662.62 is: 8,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.78 : 20,188.17 = 5,662.62 : x
  2. Step 2: Convert to fraction form
    13,458.78/20,188.17 = 5,662.62/x
  3. Step 3: Cross multiply
    13,458.78x = 20,188.17 × 5,662.62
  4. Step 4: Simplify right side
    13,458.78x = 114,317,935.21
  5. Step 5: Solve for x
    x = 114,317,935.21/13,458.78
  6. Step 6: Final answer
    x = 8,493.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.