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Finding the Fourth Proportional to 12,443.74, 18,667.42 and 4,546.64

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Solution

The fourth proportional to 12,443.74, 18,667.42 and 4,546.64 is: 6,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.74 : 18,667.42 = 4,546.64 : x
  2. Step 2: Convert to fraction form
    12,443.74/18,667.42 = 4,546.64/x
  3. Step 3: Cross multiply
    12,443.74x = 18,667.42 × 4,546.64
  4. Step 4: Simplify right side
    12,443.74x = 84,874,038.47
  5. Step 5: Solve for x
    x = 84,874,038.47/12,443.74
  6. Step 6: Final answer
    x = 6,820.62

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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.