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Finding the Fourth Proportional to 38,594.40, 57,891.60 and 13,662.60

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Solution

The fourth proportional to 38,594.40, 57,891.60 and 13,662.60 is: 20,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,594.40 : 57,891.60 = 13,662.60 : x
  2. Step 2: Convert to fraction form
    38,594.40/57,891.60 = 13,662.60/x
  3. Step 3: Cross multiply
    38,594.40x = 57,891.60 × 13,662.60
  4. Step 4: Simplify right side
    38,594.40x = 790,949,774.16
  5. Step 5: Solve for x
    x = 790,949,774.16/38,594.40
  6. Step 6: Final answer
    x = 20,493.90

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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.