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Finding the Fourth Proportional to 12,194.98, 18,302.73 and 9,429.10

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Solution

The fourth proportional to 12,194.98, 18,302.73 and 9,429.10 is: 14,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.98 : 18,302.73 = 9,429.10 : x
  2. Step 2: Convert to fraction form
    12,194.98/18,302.73 = 9,429.10/x
  3. Step 3: Cross multiply
    12,194.98x = 18,302.73 × 9,429.10
  4. Step 4: Simplify right side
    12,194.98x = 172,578,271.44
  5. Step 5: Solve for x
    x = 172,578,271.44/12,194.98
  6. Step 6: Final answer
    x = 14,151.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.