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Finding the Fourth Proportional to 11,798, 16,299.12 and 8,808.64

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Solution

The fourth proportional to 11,798, 16,299.12 and 8,808.64 is: 12,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798 : 16,299.12 = 8,808.64 : x
  2. Step 2: Convert to fraction form
    11,798/16,299.12 = 8,808.64/x
  3. Step 3: Cross multiply
    11,798x = 16,299.12 × 8,808.64
  4. Step 4: Simplify right side
    11,798x = 143,573,080.40
  5. Step 5: Solve for x
    x = 143,573,080.40/11,798
  6. Step 6: Final answer
    x = 12,169.27

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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.