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Finding the Fourth Proportional to 11,187.99, 16,785 and 9,963.81

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Solution

The fourth proportional to 11,187.99, 16,785 and 9,963.81 is: 14,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.99 : 16,785 = 9,963.81 : x
  2. Step 2: Convert to fraction form
    11,187.99/16,785 = 9,963.81/x
  3. Step 3: Cross multiply
    11,187.99x = 16,785 × 9,963.81
  4. Step 4: Simplify right side
    11,187.99x = 167,242,550.85
  5. Step 5: Solve for x
    x = 167,242,550.85/11,187.99
  6. Step 6: Final answer
    x = 14,948.40

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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.