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Finding the Fourth Proportional to 13,353.30, 20,042 and 7,118.52

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Solution

The fourth proportional to 13,353.30, 20,042 and 7,118.52 is: 10,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.30 : 20,042 = 7,118.52 : x
  2. Step 2: Convert to fraction form
    13,353.30/20,042 = 7,118.52/x
  3. Step 3: Cross multiply
    13,353.30x = 20,042 × 7,118.52
  4. Step 4: Simplify right side
    13,353.30x = 142,669,377.84
  5. Step 5: Solve for x
    x = 142,669,377.84/13,353.30
  6. Step 6: Final answer
    x = 10,684.20

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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.