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Finding the Fourth Proportional to 11,648.48, 16,072.16 and 6,611.56

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Solution

The fourth proportional to 11,648.48, 16,072.16 and 6,611.56 is: 9,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.48 : 16,072.16 = 6,611.56 : x
  2. Step 2: Convert to fraction form
    11,648.48/16,072.16 = 6,611.56/x
  3. Step 3: Cross multiply
    11,648.48x = 16,072.16 × 6,611.56
  4. Step 4: Simplify right side
    11,648.48x = 106,262,050.17
  5. Step 5: Solve for x
    x = 106,262,050.17/11,648.48
  6. Step 6: Final answer
    x = 9,122.40

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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.