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Finding the Fourth Proportional to 21,804, 32,704.32 and 12,414.54

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Solution

The fourth proportional to 21,804, 32,704.32 and 12,414.54 is: 18,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804 : 32,704.32 = 12,414.54 : x
  2. Step 2: Convert to fraction form
    21,804/32,704.32 = 12,414.54/x
  3. Step 3: Cross multiply
    21,804x = 32,704.32 × 12,414.54
  4. Step 4: Simplify right side
    21,804x = 406,009,088.81
  5. Step 5: Solve for x
    x = 406,009,088.81/21,804
  6. Step 6: Final answer
    x = 18,620.85

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Why These Related Problems?

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