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Finding the Fourth Proportional to 12,398.25, 17,109.59 and 6,809.25

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Solution

The fourth proportional to 12,398.25, 17,109.59 and 6,809.25 is: 9,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.25 : 17,109.59 = 6,809.25 : x
  2. Step 2: Convert to fraction form
    12,398.25/17,109.59 = 6,809.25/x
  3. Step 3: Cross multiply
    12,398.25x = 17,109.59 × 6,809.25
  4. Step 4: Simplify right side
    12,398.25x = 116,503,475.71
  5. Step 5: Solve for x
    x = 116,503,475.71/12,398.25
  6. Step 6: Final answer
    x = 9,396.77

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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.