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Finding the Fourth Proportional to 12,495, 17,243.12 and 6,906

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Solution

The fourth proportional to 12,495, 17,243.12 and 6,906 is: 9,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495 : 17,243.12 = 6,906 : x
  2. Step 2: Convert to fraction form
    12,495/17,243.12 = 6,906/x
  3. Step 3: Cross multiply
    12,495x = 17,243.12 × 6,906
  4. Step 4: Simplify right side
    12,495x = 119,080,986.72
  5. Step 5: Solve for x
    x = 119,080,986.72/12,495
  6. Step 6: Final answer
    x = 9,530.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.