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Finding the Fourth Proportional to 13,308, 18,360.36 and 8,833.92

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Solution

The fourth proportional to 13,308, 18,360.36 and 8,833.92 is: 12,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308 : 18,360.36 = 8,833.92 : x
  2. Step 2: Convert to fraction form
    13,308/18,360.36 = 8,833.92/x
  3. Step 3: Cross multiply
    13,308x = 18,360.36 × 8,833.92
  4. Step 4: Simplify right side
    13,308x = 162,193,951.41
  5. Step 5: Solve for x
    x = 162,193,951.41/13,308
  6. Step 6: Final answer
    x = 12,187.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.