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Finding the Fourth Proportional to 7,661.04, 11,487.94 and 2,730.60

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Solution

The fourth proportional to 7,661.04, 11,487.94 and 2,730.60 is: 4,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.04 : 11,487.94 = 2,730.60 : x
  2. Step 2: Convert to fraction form
    7,661.04/11,487.94 = 2,730.60/x
  3. Step 3: Cross multiply
    7,661.04x = 11,487.94 × 2,730.60
  4. Step 4: Simplify right side
    7,661.04x = 31,368,968.96
  5. Step 5: Solve for x
    x = 31,368,968.96/7,661.04
  6. Step 6: Final answer
    x = 4,094.61

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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.