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Finding the Fourth Proportional to 9,202.31, 12,686.42 and 6,213.41

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Solution

The fourth proportional to 9,202.31, 12,686.42 and 6,213.41 is: 8,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.31 : 12,686.42 = 6,213.41 : x
  2. Step 2: Convert to fraction form
    9,202.31/12,686.42 = 6,213.41/x
  3. Step 3: Cross multiply
    9,202.31x = 12,686.42 × 6,213.41
  4. Step 4: Simplify right side
    9,202.31x = 78,825,928.89
  5. Step 5: Solve for x
    x = 78,825,928.89/9,202.31
  6. Step 6: Final answer
    x = 8,565.88

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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.