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Finding the Fourth Proportional to 12,798, 17,662.14 and 7,209

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Solution

The fourth proportional to 12,798, 17,662.14 and 7,209 is: 9,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 17,662.14 = 7,209 : x
  2. Step 2: Convert to fraction form
    12,798/17,662.14 = 7,209/x
  3. Step 3: Cross multiply
    12,798x = 17,662.14 × 7,209
  4. Step 4: Simplify right side
    12,798x = 127,326,367.26
  5. Step 5: Solve for x
    x = 127,326,367.26/12,798
  6. Step 6: Final answer
    x = 9,948.93

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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.