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Finding the Fourth Proportional to 12,265.34, 18,400.73 and 4,474.13

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Solution

The fourth proportional to 12,265.34, 18,400.73 and 4,474.13 is: 6,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.34 : 18,400.73 = 4,474.13 : x
  2. Step 2: Convert to fraction form
    12,265.34/18,400.73 = 4,474.13/x
  3. Step 3: Cross multiply
    12,265.34x = 18,400.73 × 4,474.13
  4. Step 4: Simplify right side
    12,265.34x = 82,327,143.74
  5. Step 5: Solve for x
    x = 82,327,143.74/12,265.34
  6. Step 6: Final answer
    x = 6,712.18

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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.