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Finding the Fourth Proportional to 12,178.13, 16,805.82 and 6,589.13

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Solution

The fourth proportional to 12,178.13, 16,805.82 and 6,589.13 is: 9,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.13 : 16,805.82 = 6,589.13 : x
  2. Step 2: Convert to fraction form
    12,178.13/16,805.82 = 6,589.13/x
  3. Step 3: Cross multiply
    12,178.13x = 16,805.82 × 6,589.13
  4. Step 4: Simplify right side
    12,178.13x = 110,735,615.76
  5. Step 5: Solve for x
    x = 110,735,615.76/12,178.13
  6. Step 6: Final answer
    x = 9,092.99

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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.