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Finding the Fourth Proportional to 8,602.86, 11,872.42 and 6,474.56

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Solution

The fourth proportional to 8,602.86, 11,872.42 and 6,474.56 is: 8,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.86 : 11,872.42 = 6,474.56 : x
  2. Step 2: Convert to fraction form
    8,602.86/11,872.42 = 6,474.56/x
  3. Step 3: Cross multiply
    8,602.86x = 11,872.42 × 6,474.56
  4. Step 4: Simplify right side
    8,602.86x = 76,868,695.64
  5. Step 5: Solve for x
    x = 76,868,695.64/8,602.86
  6. Step 6: Final answer
    x = 8,935.25

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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.