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Finding the Fourth Proportional to 13,999.60, 20,986.02 and 9,849.16

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Solution

The fourth proportional to 13,999.60, 20,986.02 and 9,849.16 is: 14,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.60 : 20,986.02 = 9,849.16 : x
  2. Step 2: Convert to fraction form
    13,999.60/20,986.02 = 9,849.16/x
  3. Step 3: Cross multiply
    13,999.60x = 20,986.02 × 9,849.16
  4. Step 4: Simplify right side
    13,999.60x = 206,694,668.74
  5. Step 5: Solve for x
    x = 206,694,668.74/13,999.60
  6. Step 6: Final answer
    x = 14,764.33

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1.5x scale

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.