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Finding the Fourth Proportional to 8,205.60, 11,324.40 and 4,669.92

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Solution

The fourth proportional to 8,205.60, 11,324.40 and 4,669.92 is: 6,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.60 : 11,324.40 = 4,669.92 : x
  2. Step 2: Convert to fraction form
    8,205.60/11,324.40 = 4,669.92/x
  3. Step 3: Cross multiply
    8,205.60x = 11,324.40 × 4,669.92
  4. Step 4: Simplify right side
    8,205.60x = 52,884,042.05
  5. Step 5: Solve for x
    x = 52,884,042.05/8,205.60
  6. Step 6: Final answer
    x = 6,444.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.