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Finding the Fourth Proportional to 7,881.60, 11,821.60 and 2,687.40

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Solution

The fourth proportional to 7,881.60, 11,821.60 and 2,687.40 is: 4,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.60 : 11,821.60 = 2,687.40 : x
  2. Step 2: Convert to fraction form
    7,881.60/11,821.60 = 2,687.40/x
  3. Step 3: Cross multiply
    7,881.60x = 11,821.60 × 2,687.40
  4. Step 4: Simplify right side
    7,881.60x = 31,769,367.84
  5. Step 5: Solve for x
    x = 31,769,367.84/7,881.60
  6. Step 6: Final answer
    x = 4,030.83

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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.