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Finding the Fourth Proportional to 7,866.51, 11,792.60 and 7,181.72

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Solution

The fourth proportional to 7,866.51, 11,792.60 and 7,181.72 is: 10,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.51 : 11,792.60 = 7,181.72 : x
  2. Step 2: Convert to fraction form
    7,866.51/11,792.60 = 7,181.72/x
  3. Step 3: Cross multiply
    7,866.51x = 11,792.60 × 7,181.72
  4. Step 4: Simplify right side
    7,866.51x = 84,691,056.40
  5. Step 5: Solve for x
    x = 84,691,056.40/7,866.51
  6. Step 6: Final answer
    x = 10,766.03

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Why These Related Problems?

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