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Finding the Fourth Proportional to 11,223.76, 16,811.52 and 9,105.88

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Solution

The fourth proportional to 11,223.76, 16,811.52 and 9,105.88 is: 13,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.76 : 16,811.52 = 9,105.88 : x
  2. Step 2: Convert to fraction form
    11,223.76/16,811.52 = 9,105.88/x
  3. Step 3: Cross multiply
    11,223.76x = 16,811.52 × 9,105.88
  4. Step 4: Simplify right side
    11,223.76x = 153,083,683.74
  5. Step 5: Solve for x
    x = 153,083,683.74/11,223.76
  6. Step 6: Final answer
    x = 13,639.25

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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.