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Finding the Fourth Proportional to 12,798, 17,651.52 and 8,825.76

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Solution

The fourth proportional to 12,798, 17,651.52 and 8,825.76 is: 12,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 17,651.52 = 8,825.76 : x
  2. Step 2: Convert to fraction form
    12,798/17,651.52 = 8,825.76/x
  3. Step 3: Cross multiply
    12,798x = 17,651.52 × 8,825.76
  4. Step 4: Simplify right side
    12,798x = 155,788,079.16
  5. Step 5: Solve for x
    x = 155,788,079.16/12,798
  6. Step 6: Final answer
    x = 12,172.85

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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.