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Finding the Fourth Proportional to 13,530, 20,287.04 and 5,208.44

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Solution

The fourth proportional to 13,530, 20,287.04 and 5,208.44 is: 7,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530 : 20,287.04 = 5,208.44 : x
  2. Step 2: Convert to fraction form
    13,530/20,287.04 = 5,208.44/x
  3. Step 3: Cross multiply
    13,530x = 20,287.04 × 5,208.44
  4. Step 4: Simplify right side
    13,530x = 105,663,830.62
  5. Step 5: Solve for x
    x = 105,663,830.62/13,530
  6. Step 6: Final answer
    x = 7,809.60

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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.