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Finding the Fourth Proportional to 7,918.83, 11,881.10 and 3,705.80

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Solution

The fourth proportional to 7,918.83, 11,881.10 and 3,705.80 is: 5,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.83 : 11,881.10 = 3,705.80 : x
  2. Step 2: Convert to fraction form
    7,918.83/11,881.10 = 3,705.80/x
  3. Step 3: Cross multiply
    7,918.83x = 11,881.10 × 3,705.80
  4. Step 4: Simplify right side
    7,918.83x = 44,028,902.45
  5. Step 5: Solve for x
    x = 44,028,902.45/7,918.83
  6. Step 6: Final answer
    x = 5,560.03

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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.