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Finding the Fourth Proportional to 13,530, 20,292.30 and 4,765.26

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Solution

The fourth proportional to 13,530, 20,292.30 and 4,765.26 is: 7,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530 : 20,292.30 = 4,765.26 : x
  2. Step 2: Convert to fraction form
    13,530/20,292.30 = 4,765.26/x
  3. Step 3: Cross multiply
    13,530x = 20,292.30 × 4,765.26
  4. Step 4: Simplify right side
    13,530x = 96,698,085.50
  5. Step 5: Solve for x
    x = 96,698,085.50/13,530
  6. Step 6: Final answer
    x = 7,146.94

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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.