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Finding the Fourth Proportional to 11,772.31, 17,658.47 and 4,376.61

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Solution

The fourth proportional to 11,772.31, 17,658.47 and 4,376.61 is: 6,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.31 : 17,658.47 = 4,376.61 : x
  2. Step 2: Convert to fraction form
    11,772.31/17,658.47 = 4,376.61/x
  3. Step 3: Cross multiply
    11,772.31x = 17,658.47 × 4,376.61
  4. Step 4: Simplify right side
    11,772.31x = 77,284,236.39
  5. Step 5: Solve for x
    x = 77,284,236.39/11,772.31
  6. Step 6: Final answer
    x = 6,564.92

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