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Finding the Fourth Proportional to 27,909.78, 41,870.82 and 9,189.06

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Solution

The fourth proportional to 27,909.78, 41,870.82 and 9,189.06 is: 13,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.78 : 41,870.82 = 9,189.06 : x
  2. Step 2: Convert to fraction form
    27,909.78/41,870.82 = 9,189.06/x
  3. Step 3: Cross multiply
    27,909.78x = 41,870.82 × 9,189.06
  4. Step 4: Simplify right side
    27,909.78x = 384,753,477.23
  5. Step 5: Solve for x
    x = 384,753,477.23/27,909.78
  6. Step 6: Final answer
    x = 13,785.61

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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.