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Finding the Fourth Proportional to 14,279, 19,705.02 and 7,991.42

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Solution

The fourth proportional to 14,279, 19,705.02 and 7,991.42 is: 11,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,279 : 19,705.02 = 7,991.42 : x
  2. Step 2: Convert to fraction form
    14,279/19,705.02 = 7,991.42/x
  3. Step 3: Cross multiply
    14,279x = 19,705.02 × 7,991.42
  4. Step 4: Simplify right side
    14,279x = 157,471,090.93
  5. Step 5: Solve for x
    x = 157,471,090.93/14,279
  6. Step 6: Final answer
    x = 11,028.16

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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.