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Finding the Fourth Proportional to 27,679.93, 41,509.70 and 9,905.77

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Solution

The fourth proportional to 27,679.93, 41,509.70 and 9,905.77 is: 14,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679.93 : 41,509.70 = 9,905.77 : x
  2. Step 2: Convert to fraction form
    27,679.93/41,509.70 = 9,905.77/x
  3. Step 3: Cross multiply
    27,679.93x = 41,509.70 × 9,905.77
  4. Step 4: Simplify right side
    27,679.93x = 411,185,540.97
  5. Step 5: Solve for x
    x = 411,185,540.97/27,679.93
  6. Step 6: Final answer
    x = 14,855.01

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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.