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Finding the Fourth Proportional to 12,798, 17,661.51 and 7,209

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Solution

The fourth proportional to 12,798, 17,661.51 and 7,209 is: 9,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 17,661.51 = 7,209 : x
  2. Step 2: Convert to fraction form
    12,798/17,661.51 = 7,209/x
  3. Step 3: Cross multiply
    12,798x = 17,661.51 × 7,209
  4. Step 4: Simplify right side
    12,798x = 127,321,825.59
  5. Step 5: Solve for x
    x = 127,321,825.59/12,798
  6. Step 6: Final answer
    x = 9,948.57

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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.