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Finding the Fourth Proportional to 18,189.36, 27,297 and 7,804.08

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Solution

The fourth proportional to 18,189.36, 27,297 and 7,804.08 is: 11,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,189.36 : 27,297 = 7,804.08 : x
  2. Step 2: Convert to fraction form
    18,189.36/27,297 = 7,804.08/x
  3. Step 3: Cross multiply
    18,189.36x = 27,297 × 7,804.08
  4. Step 4: Simplify right side
    18,189.36x = 213,027,971.76
  5. Step 5: Solve for x
    x = 213,027,971.76/18,189.36
  6. Step 6: Final answer
    x = 11,711.68

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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.