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Finding the Fourth Proportional to 13,008.24, 17,951.23 and 7,039.78

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Solution

The fourth proportional to 13,008.24, 17,951.23 and 7,039.78 is: 9,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.24 : 17,951.23 = 7,039.78 : x
  2. Step 2: Convert to fraction form
    13,008.24/17,951.23 = 7,039.78/x
  3. Step 3: Cross multiply
    13,008.24x = 17,951.23 × 7,039.78
  4. Step 4: Simplify right side
    13,008.24x = 126,372,709.93
  5. Step 5: Solve for x
    x = 126,372,709.93/13,008.24
  6. Step 6: Final answer
    x = 9,714.82

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