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Finding the Fourth Proportional to 18,005, 27,007.42 and 4,858.68

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Solution

The fourth proportional to 18,005, 27,007.42 and 4,858.68 is: 7,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005 : 27,007.42 = 4,858.68 : x
  2. Step 2: Convert to fraction form
    18,005/27,007.42 = 4,858.68/x
  3. Step 3: Cross multiply
    18,005x = 27,007.42 × 4,858.68
  4. Step 4: Simplify right side
    18,005x = 131,220,411.41
  5. Step 5: Solve for x
    x = 131,220,411.41/18,005
  6. Step 6: Final answer
    x = 7,288.00

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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.