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Finding the Fourth Proportional to 27,909.63, 41,870.93 and 9,189.83

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Solution

The fourth proportional to 27,909.63, 41,870.93 and 9,189.83 is: 13,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.63 : 41,870.93 = 9,189.83 : x
  2. Step 2: Convert to fraction form
    27,909.63/41,870.93 = 9,189.83/x
  3. Step 3: Cross multiply
    27,909.63x = 41,870.93 × 9,189.83
  4. Step 4: Simplify right side
    27,909.63x = 384,786,533.08
  5. Step 5: Solve for x
    x = 384,786,533.08/27,909.63
  6. Step 6: Final answer
    x = 13,786.87

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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.