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Finding the Fourth Proportional to 13,104.09, 18,084.09 and 7,135.85

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Solution

The fourth proportional to 13,104.09, 18,084.09 and 7,135.85 is: 9,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.09 : 18,084.09 = 7,135.85 : x
  2. Step 2: Convert to fraction form
    13,104.09/18,084.09 = 7,135.85/x
  3. Step 3: Cross multiply
    13,104.09x = 18,084.09 × 7,135.85
  4. Step 4: Simplify right side
    13,104.09x = 129,045,353.63
  5. Step 5: Solve for x
    x = 129,045,353.63/13,104.09
  6. Step 6: Final answer
    x = 9,847.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.