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Finding the Fourth Proportional to 21,544.71, 32,316.82 and 8,406.30

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Solution

The fourth proportional to 21,544.71, 32,316.82 and 8,406.30 is: 12,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,544.71 : 32,316.82 = 8,406.30 : x
  2. Step 2: Convert to fraction form
    21,544.71/32,316.82 = 8,406.30/x
  3. Step 3: Cross multiply
    21,544.71x = 32,316.82 × 8,406.30
  4. Step 4: Simplify right side
    21,544.71x = 271,664,883.97
  5. Step 5: Solve for x
    x = 271,664,883.97/21,544.71
  6. Step 6: Final answer
    x = 12,609.35

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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.