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Finding the Fourth Proportional to 12,468.70, 17,207.37 and 7,165.18

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Solution

The fourth proportional to 12,468.70, 17,207.37 and 7,165.18 is: 9,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.70 : 17,207.37 = 7,165.18 : x
  2. Step 2: Convert to fraction form
    12,468.70/17,207.37 = 7,165.18/x
  3. Step 3: Cross multiply
    12,468.70x = 17,207.37 × 7,165.18
  4. Step 4: Simplify right side
    12,468.70x = 123,293,903.38
  5. Step 5: Solve for x
    x = 123,293,903.38/12,468.70
  6. Step 6: Final answer
    x = 9,888.27

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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.