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Finding the Fourth Proportional to 8,438.23, 11,644.54 and 4,661.32

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Solution

The fourth proportional to 8,438.23, 11,644.54 and 4,661.32 is: 6,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.23 : 11,644.54 = 4,661.32 : x
  2. Step 2: Convert to fraction form
    8,438.23/11,644.54 = 4,661.32/x
  3. Step 3: Cross multiply
    8,438.23x = 11,644.54 × 4,661.32
  4. Step 4: Simplify right side
    8,438.23x = 54,278,874.77
  5. Step 5: Solve for x
    x = 54,278,874.77/8,438.23
  6. Step 6: Final answer
    x = 6,432.49

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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.