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Finding the Fourth Proportional to 13,999.67, 20,999.91 and 5,232.91

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Solution

The fourth proportional to 13,999.67, 20,999.91 and 5,232.91 is: 7,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.67 : 20,999.91 = 5,232.91 : x
  2. Step 2: Convert to fraction form
    13,999.67/20,999.91 = 5,232.91/x
  3. Step 3: Cross multiply
    13,999.67x = 20,999.91 × 5,232.91
  4. Step 4: Simplify right side
    13,999.67x = 109,890,534.04
  5. Step 5: Solve for x
    x = 109,890,534.04/13,999.67
  6. Step 6: Final answer
    x = 7,849.51

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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.