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Finding the Fourth Proportional to 7,242.76, 10,855.85 and 3,076.66

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Solution

The fourth proportional to 7,242.76, 10,855.85 and 3,076.66 is: 4,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.76 : 10,855.85 = 3,076.66 : x
  2. Step 2: Convert to fraction form
    7,242.76/10,855.85 = 3,076.66/x
  3. Step 3: Cross multiply
    7,242.76x = 10,855.85 × 3,076.66
  4. Step 4: Simplify right side
    7,242.76x = 33,399,705.18
  5. Step 5: Solve for x
    x = 33,399,705.18/7,242.76
  6. Step 6: Final answer
    x = 4,611.46

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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.