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Finding the Fourth Proportional to 12,798, 17,666.10 and 8,608.68

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Solution

The fourth proportional to 12,798, 17,666.10 and 8,608.68 is: 11,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 17,666.10 = 8,608.68 : x
  2. Step 2: Convert to fraction form
    12,798/17,666.10 = 8,608.68/x
  3. Step 3: Cross multiply
    12,798x = 17,666.10 × 8,608.68
  4. Step 4: Simplify right side
    12,798x = 152,081,801.75
  5. Step 5: Solve for x
    x = 152,081,801.75/12,798
  6. Step 6: Final answer
    x = 11,883.25

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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.