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Finding the Fourth Proportional to 18,471, 27,710.12 and 6,784.32

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Solution

The fourth proportional to 18,471, 27,710.12 and 6,784.32 is: 10,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471 : 27,710.12 = 6,784.32 : x
  2. Step 2: Convert to fraction form
    18,471/27,710.12 = 6,784.32/x
  3. Step 3: Cross multiply
    18,471x = 27,710.12 × 6,784.32
  4. Step 4: Simplify right side
    18,471x = 187,994,321.32
  5. Step 5: Solve for x
    x = 187,994,321.32/18,471
  6. Step 6: Final answer
    x = 10,177.81

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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.