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Finding the Fourth Proportional to 19,687.86, 29,534.22 and 7,999.56

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Solution

The fourth proportional to 19,687.86, 29,534.22 and 7,999.56 is: 12,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.86 : 29,534.22 = 7,999.56 : x
  2. Step 2: Convert to fraction form
    19,687.86/29,534.22 = 7,999.56/x
  3. Step 3: Cross multiply
    19,687.86x = 29,534.22 × 7,999.56
  4. Step 4: Simplify right side
    19,687.86x = 236,260,764.94
  5. Step 5: Solve for x
    x = 236,260,764.94/19,687.86
  6. Step 6: Final answer
    x = 12,000.33

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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.